京都大学 / 新制・課程博士 / 博士(理学) / 甲第23678号 / 理博第4768号 / 新制||理||1683(附属図書館) / 京都大学大学院理学研究科数学・数理解析専攻 / (主査)教授 加藤 周, 教授 雪江 明彦, 教授 池田 保 / 学位規則第4条第1項該当 / Doctor of Science / Kyoto University / DFAM

The aim of this thesis is to investigate, explain, compare and to a degree criticize the two theories Global Stakeholder Democracy by Terry Macdonald and Transnational Discursive Democracy by John Dryzek and their respective arguments for a global democracy, by using the method of an internal idea analysis. The two main questions of the thesis are: -  With what arguments do Macdonald and Dryzek legitimize their respective form of global democracy? -  What similarities as well as differences can be found in their argumentation for their respective theory and is it possible to see any potential internal problems in their argumentation? The results show that both Global Stakeholder Democracy and Transnational Discursive Democracy can be interpreted to share the same basic way of legitimizing democracy through a liberal value and notion of autonomy. Because of the current democratic deficit on a global level, this value is threatened. Both theories therefore try to solve this problem by promoting a pragmatic theory to democratize the global political system. The study recognizes some potential problems regarding the way both Macdonald and Dryzek argue for a global democracy. In MacDonald’s theory, the potential problem concerns mainly the lack of a clear definition of the theory’s fundamental part, what a stakeholder is. The potential problems with Dryzek’s theory derive from the fact that he might put to much trust in the concept of reflexive modernization, whether his theory will be able to actually influence discourses despite a lack of formal institutions, and finally if the theory will be able to guarantee political equality in the decision making process.

Cette thèse porte sur l'étude de la combinatoire énumérative, plus particulièrement autour des partitions d'entiers et des groupes de Coxeter. Dans une première partie, à l'instar de Han et de Nekrasov-Okounkov, nous étudions des développements combinatoires des puissances de la fonction êta de Dedekind, en termes de longueurs d'équerres de partitions d'entiers. Notre approche, bijective, utilise notamment les identités de Macdonald en types affines (en particulier le type C), généralisant l'approche de Han en type A. Nous étendons ensuite avec de nouveaux paramètres ces développements, grâce à de nouvelles propriétés de la décomposition de Littlewood vis-à-vis des partitions et statistiques considérées. Cela nous permet de déduire des formules des équerres symplectiques, ainsi qu'une connexion avec la théorie des représentations. Dans une seconde partie, nous étudions les éléments cycliquement pleinement commutatifs dans les groupes de Coxeter introduits par Boothby et al., qui forment une sous famille des éléments pleinement commutatifs. Nous commençons par développer une construction, la clôture cylindrique, donnant un cadre théorique qui est aux éléments CPC ce que les empilements de Viennot sont aux éléments PC. Nous donnons une caractérisation des éléments CPC en terme de clôtures cylindriques pour n'importe quel système de Coxeter. Celle-ci nous permet de déterminer en termes d'expressions réduites les éléments CPC dans tous les groupes de Coxeter finis ou affines, et d'en déduire dans tous ces groupes l'énumération de ces éléments. En utilisant la théorie des automates finis, nous montrons aussi que la série génératrice de ces éléments est une fraction rationnelle / This thesis focuses on enumerative combinatorics, particularly on integer partitions and Coxeter groups. In the first part, like Han and Nekrasov-Okounkov, we study the combinatorial expansion of power of the Dedekind's eta function, in terms of hook lengths of integer partitions. Our approach, bijective, use the Macdonald identities in affine types, generalizing the study of Han in the case of type A. We extend with new parameters the expansions that we obtained through new properties of the Littlewood decomposition. This enables us to deduce symplectic hook length formulas and a connexion with representation theory. In the second part, we study the cyclically fully commutative elements in Coxeter groups, introduced by Boothby et al., which are a sub family of the fully commutative elements. We start by introducing a new construction, the cylindrical closure, which give a theoretical framework for the CPC elements analogous to the Viennot's heaps for fully commutative elements. We give a characterization of CPC elements in terms of cylindrical closures in any Coxeter groups. This allows to deduce a characterization of these elements in terms of reduced decompositions in all finite and affine Coxeter and their enumerations in those groups. By using the theory of finite state automata, we show that the generating function of these elements is always rational, in all Coxeter groups

This thesis argues that George MacDonald's literary influence upon C. S. Lewis-concerning the themes of pain, suffering, evil and goodness-was transforming and long-lasting. It is argued in the opening chapter that MacDonald's work had a great deal to do with the change in young Lewis's imagination, helping to convert him from a romantic doubter to a romantic believer in God and his goodness. A review of both writers' first works suggests that such influence may have begun earlier in Lewis's career than has been noticed. The second chapter examines how both authors contended with the problems that pain and suffering present, and how both understood and presented the nature of faith. Differences in their treatment of these subjects are noted, but it is argued that these views and depictions share fundamental elements, and that MacDonald's direct influence can be demonstrated in particular cases. The view that MacDonald was primarily a champion of feelings is challenged, as is the idea that either man's later writing displays a loss of faith in God and his goodness. The third chapter, in specifically refuting the assertion that MacDonald's view of evil was inclusive in the Jungian or dualistic sense, shows how both authors' work maintains an unmistakable distinction between evil fortune and moral evil. The next two chapters examine fundamental similarities in their treatment of evil and goodness. Special care is taken in these two chapters to trace MacDonald's direct influence, especially regarding the differences they believed existed between hell's Pride and what they believed God to be. The fifth chapter reviews their ideas and depictions of heaven in summing up the study's argument concerning the overall influence of MacDonald's writing upon Lewis's imagination-in particular the change in Lewis's understanding of the relations between Spirits, Nature, and God.

Thesis (M.A.)--Indiana University, 2010. / Title from screen (viewed on July 19, 2010). Department of English, Indiana University-Purdue University Indianapolis (IUPUI). Advisor(s): Robert Rebein, Jonathan Eller, William Touponce. Includes vitae. Includes bibliographical references (leaves 84-86).

Cette thèse se compose de trois parties. La première partie est consacrée aux partitions planes cylindriques, la deuxième aux lambda-déterminants et enfin la troisième aux commutateurs dans les systèmes semi-circulaires. La classe des partitions planes cylindriques est une généralisation naturelle de celle des partitions planes inverses. Borodin a donnée récemment une série génératrice pour les partitions planes cylindriques. Notre premier résultat est une preuve bijective de cette identité utilisant les diagrammes de croissance de Fomin for la correspondance RSK généralisée. Le deuxième résultat est un (q, t)-analogue de la formule de Borodin, qui généralise un résultat d'Okada. Enfin le troisième résultat de la première partie est une description combinatoire explicite du poids de Macdonald intervenant dans cette formule, qui utilise un modèle de chemins non-intersectant pour les partitions planes cylindriques. Les matrices à signes alternants ont ́été découvertes par Robbins et Rumsey alors qu’ils étudiaient les λ-déterminants. Dans la deuxième partie de cette thèse nous démontrons une généralisation à plusieurs paramètres de ce λ-déterminant, généralisant un résultat récent de di Francesco. Comme le λ-déterminant, notre formule est un exemple du phénomène de Laurent. Les systèmes semi-circulaires ont ́été introduits par Voiculescu afin d' ́étudier les algèbres de von Neumann des groupes libres. Dans la troisième partie de la thèse, nous étudions les commutateurs dans l'algèbre engendré par un système semi-circulaire. Nous avons mis en ́évidence une matrice possédant une structure auto-similaire intéressante, qui nous permet de donner une formule explicite pour la projection sur l'espace des commutateurs de degré donnée. En utilisant cette expression, nous donnons une preuve simple du fait que les systèmes semi-circulaires engendrent des facteurs / This thesis is divided into three parts. The first part deals with cylindric plane partitions. The second with lambda-determinants and the third with commutators in semi-circular systems. Cylindric plane partitions may be thought of as a natural generalization of reverse plane partitions. A generating series for the enumeration of cylindric plane partitions was recently given by Borodin. The first result of section one is a new bijective proof of Borodin's identity which makes use of Fomin's growth diagram framework for generalized RSK correspondences. The second result is a (q, t)-analog of Borodin's identity which extends previous work by Okada in the reverse plane partition case. The third result is an explicit combinatorial interpretation of the Macdonald weight occuring in the(q, t)-analog using the non-intersecting lattice path model for cylindric plane partitions. Alternating sign matrices were discovered by Robbins and Rumsey whilst studying λ-determinants. In the second part of this thesis we prove a multi-parameter generalization of the λ-determinant, generalizing a recent result by di Francesco. Like the original λ-determinant, our formula exhibits the Laurent phenomenon. Semicircular systems were first introduced by Voiculescu as a part of his study of von Neumann algebras. In the third part of this thesis we study certain commutator sub algebras of the semicircular system. We find a projection matrix with an interesting self-similar structure. Making use of our projection formula we given an alternative, elementary proof that the semicircular system is a factor

Vorliegende Dissertation greift in zeitgenössische Debatten queerer und feministischer Politiken durch die Analyse von Gegenwartsliteratur ein. Hatte die zweiten Frauenbewegung vertreten, dass im Zentrum politischer Veränderungen stets persönliche Veränderungen stehen, nutzt die Arbeit mit diesem Ausgangspunkt ein scheinbar anachronistisches Paradigma, um solche Narrative zu kritisieren, die Queerness sowie queere Politik und Theorie im Präsens, lesbischen Feminismus dagegen in der Vergangenheit positionieren wollen. These ist dagegen, dass die utopischen Impulse des lesbischen Feminismus der zweiten Frauenbewegung sich mit aktueller queerer Politik überschneiden und dass beide auf zu differenzierende Art Praktiken und Konzepte von Intimität in den Vordergrund stellen, die auf soziale Transformationen in größerem Maßstab verweisen. Die Erkundung der komplexen Weisen, in denen Politik durch Intimität praktiziert wird, erfolgt hier am Beispiel der Figur der Lesbe in der zeitgenössischen Anglo-Amerikanischen Literatur, speziell in Auseinandersetzung mit der Literatur der kanadischen Schriftstellerin Ann-Marie MacDonald. Mit Figur oder Trope der Lesbe im Zentrum der Analyse ist ein spezifischer historischer und politischer Kontext signalisiert. Die Lesbe sowie lesbian existence als eine feministische Praxis bieten einen produktiven Ausgangspunkt, weil beide im Lauf der Zeit oft und teils simultan als das Abjekt oder das idealisierte Objekt von sexueller und Genderpolitik konstruiert worden sind. Darüber hinaus markiert lesbischer Feminismus einen bestimmten zeitlichen Ort sowie eine politische Funktion und besetzt einen bestimmten Platz im feministischen und queeren Imaginären. Aufgabe der Dissertation ist es, die Potentiale herauszuarbeiten, die heute noch immer von der Figur der Lesbe und vom lesbischem Feminismus ausgehen, ohne dabei deren teils unbequeme Beziehung zum beachtlichen Einfluss der Queer Theory aus den Augen zu verlieren. / This dissertation intervenes in contemporary debates in queer and feminist politics through an analysis of literary fiction. Taking as its point of departure the second-wave feminist claim that personal and intimate transformation are at the heart of political transformation, it uses a seemingly anachronistic paradigm to critique linear narratives that position queerness and queer politics and theory in the present and lesbian feminism in the past. It argues that the utopian impulses of second-wave lesbian feminism overlap with those of contemporary queer politics, and claims that both foreground practices and conceptions of intimacy that prefigure broader social change. Exploring the ways in which politics are enacted via intimacy, this dissertation takes as its object of study the figure of the lesbian in contemporary Anglo-American literature, specifically engaging with the fiction of Canadian writer Ann-Marie MacDonald. Situating the figure of the lesbian at the centre of this analysis signals a specific historical, political, and social context. The lesbian, as a figure or trope, or lesbian existence, as a way of doing feminism, offers a productive point of departure for such considerations because both have, over time, been variously and often simultaneously constructed as either the abject or idealized object of sexual and gender politics. Lesbian feminism signals a specific temporal location and political function and holds a particular space in the feminist and queer imaginary. While exploring both the influence of queer theory and politics in the political and theoretical structures of sexuality, and the unprecedented mainstreaming both of (certain versions of) non-heterosexuality and (certain versions of) feminism, this dissertation’s project is to consider the possibilities still generated by the figure of the lesbian and lesbian feminism, while considering its sometimes-uncomfortable relationship to the considerable influence of queer theory.

Since the turn of the century Scottish drama has struggled to create drama distinct from England's. The four century dearth in playwriting is attributed to the antipathy of the Scottish Kirk holding sway in Scotland after King James moved his court to London in 1603. Inspired by Dublin's Abbey Theatre, the Scots' dream of a national theatre is traced through three major periods: Rebirth, Inter-war and Postwar. Analysis reveals organismic development where spurts of growth are followed by plateaus of consolidation. An early stage of Kailyard drama was followed by a return to the Scots dialect. Thus they created their own pseudo-indigenous drama. The national theatre torch first carried by the Glasgow Repertory Company in 1909 passed to the Scottish national Players in the 1920s before settling with the Citizens' Theatre in the 1940s. The Post-war Edinburgh Festival has acted like a pressure-cooker to drama. Two Scottish historical studies point to talented writers and theatrical craft in abundance. Nevertheless, first magnitude writers failed to emerge. Scholars identified major weaknesses as: writers poorly based in dramatic theory; bridging the gap between the parochial and universal; historical themes lacking cognizance of the present; and a reliance on derogatory comic stereotypes. This study of three recent Scottish plays, Chinchilla by David Robert MacDonald, Animal by Tom McGrath and The Jesuit, by Donald Campbell concludes that Scottish drama has overcome its weaknesses. It now passes the test of universality without loss of Scottish ethnicity. Dealing with man's relationship to art, his fellowman and God, all three proclaim their Celtic origins through the imaginative use of space, time and consciousness. The authors' sophisticated, poetic use of language indicates that Scottish drama has arrived at last on the threshold of maturity.

After the change of their country’s political and international statuses, post-colonial and respectively post-communist individuals and collectives develop feelings of alienation and estrangement that do not involve physical dislocation. Eventually, they start imagining their national community as a collective of individuals who share this state. Paraphrasing Benedict Anderson’s definition of the nation as an “imagined community,” this study identifies this process as “imagined exile,” an act that temporarily compensates for the absence of a metanarrative of the nation during the post-colonial and post-communist transitions. This dissertation analyzes and compares ten English Canadian and Romanian plays, written between 1976 and 2004, and argues that they function as expressions and agents of post-colonial and respectively post-communist imagined exile, helping their readers and audiences overcome the identity crisis and regain the feeling of belonging to a national community. Chapter 1 explores the development of major theoretical concepts, such as nation, national identity, national identity crisis, post-colonialism, and post-communism. Chapter 2 and Chapter 3 analyze dramatic rewritings of historical events, in “1837: The Farmers’ Revolt” by the theatre Passe Muraille with Rick Salutin as dramaturge, and “A Cold” by Marin Sorescu, and of past political leaders, in “Sir John, Eh!” by Jim Garrard and “A Day from the Life of Nicolae Ceausescu” by Denis Dinulescu. Chapter 4 examines the expression of the individual and collective identity crises in “Sled” by Judith Thompson and “The Future Is Rubbish” by Vlad Zografi. Chapter 5 explores the treatment of physical and cultural borders and borderlands in Kelly Rebar’s “Bordertown Café”, Guillermo Verdecchia’s “Fronteras Americanas”, Petre Barbu’s “God Bless America”, and Saviana Stanescu’s “Waxing West”. The concluding chapter briefly discusses the concept of imagined exile in relation to other investigations of post-colonial and post-communist dramas and reviews some of the latest perspectives of national identity, reassessing this study from a diachronic perspective.

This thesis approaches the ways George MacDonald viewed and represented Victorian society in his novels by analysing select social issues which he felt compelled to address. Chapter One introduces the thesis. It contains a review of critical commentary on MacDonald’s work, as well as discussions on his non-fictional texts and essays, industrialism, and the great rural-urban divide of the nineteenth century. Chapter Two concentrates on MacDonald’s representations of the city in Robert Falconer (1868), The Vicar’s Daughter (1872), and Weighed and Wanting (1882) by underscoring parallels between Octavia Hill’s housing and environmental schemes and situations which he experienced firsthand. Chapter Three examines the influence of Nature on MacDonald’s theology and social views. Special emphasis is placed on Wordsworth and the development of MacDonald’s unique pantheism in his texts, such as the short story, ‘A Journey Rejourneyed’ (1865-6), Guild Court (1868), Wilfrid Cumbermede (1872), What’s Mine’s Mine (1886), and Home Again (1887). Chapter Four uncovers MacDonald’s involvement with the animal welfare movement during the latter part of the nineteenth century. Discussions on vivisection, vegetarianism, hunting, animal abuse, evolution, and degeneration are provided with a wide range of MacDonald’s texts, such as Alec Forbes of Howglen (1865), Paul Faber, Surgeon (1879), The Marquis of Lossie (1877), A Rough Shaking (1890), and Heather and Snow (1893). Chapter Five offers a short summation of the thesis. It affirms that MacDonald was deeply troubled by certain social issues that were raised within his society and would use his fiction to express his concerns. The conclusion also offers a few suggestive topics for ongoing research in the field of this thesis.