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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
71

Octonions and supersymmetry

Schray, J��rg 29 April 1994 (has links)
Graduation date: 1994
72

Polynomial identities of Hopf algebras /

Kotchetov, Mikhail V., January 2002 (has links)
Thesis (Ph.D.)--Memorial University of Newfoundland, 2002. / Bibliography: leaves 127-130.
73

A family of higher-rank graphs arising from subshifts

Weaver, Natasha January 2009 (has links)
Research Doctorate - Doctor of Philosophy (PhD) / There is a strong connection between directed graphs and the shifts of finite type which are an important family of dynamical systems. Higher-rank graphs (or k-graphs) and their C*-algebras were introduced by Kumjian and Pask to generalise directed graphs and their C*-algebras. Kumjian and Pask showed how higher-dimensional shifts of finite type can be associated to k-graphs, but did not discuss how one might associate k-graphs to k-dimensional shifts of finite type. In this thesis we construct a family of 2-graphs A arising from a certain type of algebraic two-dimensional shift of finite type studied by Schmidt, and analyse the structure of their C*-algebras. Graph algebras and k-graph algebras provide a rich source of examples for the classication of simple, purely infinite, nuclear C*-algebras. We give criteria which ensure that the C*-algebra C*(A) is simple, purely infinite, nuclear, and satisfies the hypotheses of the Kirchberg-Phillips Classification Theorem. We perform K-theory calculations for a wide range of our 2-graphs A using the Magma computational algebra system. The results of our calculations lead us to conjecture that the K-groups of C*(A) are finite cyclic groups of the same order. We are able to prove under mild hypotheses that the K-groups have the same order, but we have only numerical evidence to suggest that they are cyclic. In particular, we find several examples for which K1(C*(A)) is nonzero and has torsion, hence these are examples of 2-graph C*-algebras which do not arise as the C*-algebras of directed graphs. Finally, we consider a subfamily of 2-graphs with interesting combinatorial connections. We identify the nonsimple C*-algebras of these 2-graphs and calculate their K-theory.
74

C*-algebras associated to higher-rank graphs

Sims, Aidan Dominic January 2003 (has links)
Research Doctorate - Doctor of Philosophy (PhD) / Directed graphs are combinatorial objects used to model networks like fluid-flow systems in which the direction of movement through the network is important. In 1980, Enomoto and Watatani used finite directed graphs to provide an intuitive framework for the Cuntz-Krieger algebras introduced by Cuntz and Krieger earlier in the same year. The theory of the C*-algebras of directed graphs has since been extended to include infinite graphs, and there is an elegant relationship between connectivity and loops in a graph and the structure theory of the associated C*-algebra. Higher-rank graphs are a higher-dimensional analogue of directed graphs introduced by Kumjian and Pask in 2000 as a model for the higher-rank Cuntz-Krieger algebras introduced by Robertson and Steger in 1999. The theory of the Cuntz-Krieger algebras of higher-rank graphs is relatively new, and a number of questions which have been answered for directed graphs remain open in the higher-rank setting. In particular, for a large class of higher-rank graphs, the gauge-invariant ideal structure of the associated C*-algebra has not yet been identified. This thesis addresses the question of the gauge-invariant ideal structure of the Cuntz-Krieger algebras of higher-rank graphs. To do so, we introduce and analyse the collections of relative Cuntz-Krieger algebras associated to higher-rank graphs. The first two main results of the thesis are versions of the gauge-invariant uniqueness theorem and the Cuntz-Krieger uniqueness theorem which apply to relative Cuntz-Krieger algebras. Using these theorems, we are able to achieve our main goal, producing a classification of the gauge-invariant ideals in the Cuntz-Krieger algebra of a higher-rank graph analogous to that developed for directed graphs by Bates, Hong, Raeburn and Szymañski in 2002. We also demonstrate that relative Cuntz-Krieger algebras associated to higher-rank graphs are always nuclear, and produce conditions on a higher-rank graph under which the associated Cuntz-Krieger algebra is simple and purely infinite.
75

An extension of the KdV hierarchy arising from Weyl algebra representations of toroidal Lie algebras /

Tingley, Peter January 1900 (has links)
Thesis (M. Sc.)--Carleton University, 2002. / Includes bibliographical references (p. 49-50). Also available in electronic format on the Internet.
76

K-theory of uniform Roe algebras

Špakula, Ján. January 2008 (has links)
Thesis (Ph. D. in Mathematics)--Vanderbilt University, Aug. 2008. / Title from title screen. Includes bibliographical references.
77

Cellularity and Jones basic construction

Graber, John Eric. Goodman, Frederick M. January 2009 (has links)
Thesis supervisor: Frederick M. Goodman. Includes bibliographic references (p. 84-88).
78

Closed ideals and linear isometries of certain function spaces

Vasavada, Mahavirendra Hariprasad, January 1969 (has links)
Thesis (Ph. D.)--University of Wisconsin--Madison, 1969. / Typescript. Vita. Description based on print version record. Includes bibliographical references.
79

Applied mathematical modules for use in a linear algebra service course

Zander, Shirley Jo. Friedberg, Stephen H. January 1990 (has links)
Thesis (D.A.)--Illinois State University, 1990. / Title from title page screen, viewed November 16, 2005. Dissertation Committee: Stephen Friedberg (chair), John Dossey, George Kidder, Michael Plantholt, Robert Ritt. Includes bibliographical references (leaves 22-23) and abstract. Also available in print.
80

OPE- Algebras

Rosellen, Markus. January 2002 (has links)
Thesis (Dr. rer. nat.)--Rheinische Friedrich-Wilhelms-Universität Bonn, 2002. / Includes bibliographical references (p. 136-140) and index.

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