This paper examines the Rado graph, the unique, countably infinite, universalgraph. Many of the central properties are covered in detail, and various constructionsare provided, using results from a variety of fields of mathematics. A variantof the Rado graph was initially constructed by Ackermann. The actual Rado graphwas studied later, by Erdős and Rényi, before Rado rediscovered it from a differentperspective. A multitude of other authors have since then contributed to the subject.

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No description available.

We consider finite-dimensional complex semi-simple Lie algebras g. Any such Lie algebra has a Cartan subalgebra h, and its adjoint representation on g yields a root space decomposition of g, which in turn gives rise to a root system. These are in turn classified by the Dynkin diagrams. Conversely, for any root system, there is a corresponding semi-simple Lie algebra, and the complex semi-simple Lie algebras are therefore classified by the root system. Given a root system, Serre’s theorem states explicitly how to reconstruct corresponding semi-simple Lie algebra from this root system.

<p>Författaren har bytt namn och heter nu: Kevin Chauwinoir</p>

Let G ≤ SLn+1(C) act on R = C[X1, ..., Xn+1] by change of variables. Then, the skew-group algebra R*G is bimodule (n+1)-Calabi-Yau. In certain circumstances, this algebra admits a locally finite-dimensional grading of Gorenstein parameter 1, in which case it is the (n+1)-preprojective algebra of its n-representation infinite degree 0 piece. If the group G is abelian, the (n+1)-preprojective algebra is said to be of type Ã. For a given group G, it is not obvious whether R*G admits such a grading making it into an (n+1)-preprojective algebra. We study the case when n=2 and G is abelian. We give an explicit classification of groups such that R*G is 3-preprojective by constructing such gradings. This is possible as long as G is not a subgroup of SL2(C) and not C2 x C2. For a fixed G, the algebra R*G admits different 3-preprojective gradings, so we associate a type to a grading and classify all types. Then we show that gradings of the same type are related by a certain kind of mutation. This gives a classification of 2-representation infinite algebras of type Ã. The involved quivers are those arising from hexagonal dimer models on the torus, and the gradings we consider correspond to perfect matchings on the dimer, or equivalently to periodic lozenge tilings of the plane. Consequently, we classify these tilings up to flips, which correspond to the mutation we consider. / <p>Oleksandra Gasanova, Universität Duisburg-Essen, is co-author of the included work</p>

En revisor som åsidosätter sina uppgifter kan bli skadeståndsskyldig och en skadeståndstalan mot en revisor leder i regel till att denne får ett försämrat rykte, även i de fall då revisorn faktiskt frias. Idag arbetar många revisorer på stora revisionsbyråer och måste då följa både professionella och kommersiella värderingar. Vissa studier visar att dessa olika värderingar är svårförenade och att problem kan uppstå när professionella yrkesverksamma arbetar i miljöer där också kommersiella värderingar finns. Syftet med denna studie är därför att analysera vilken av skadeståndsrisken och ryktesrisken som upplevs vara värst samt hur riskerna upplevs påverka revisorers arbete i en kontext där de måste förhålla sig till en professionell såväl som en kommersiell logik. För att uppfylla detta syfte genomfördes semistrukturerade intervjuer med nio auktoriserade revisorer på tre av de största revisionsbyråerna i Sverige. Vi har i denna studie konstaterat att ryktet var viktigast för revisorerna. Revisorerna menade att varumärket gav en kvalitetsstämpel på revisionen, att ryktesrisken var svår att skydda sig mot, att den påverkade deras personliga karriärmöjligheter samt att det rent historiskt inte varit särskilt hög risk för skadestånd. Majoriteten av revisorerna menade att det fanns en skadeståndsrisk för revisorer men att deras revisionsbyrås riskbedömning och resurser eliminerade skadeståndsrisken.

Since 2007, there has been a boom in sales of the vinyl record, which still continues to this day. The purpose of this paper is therefore to shed some light on this unlikely revival by studying the vinyl record’s consumer value as perceived by members of Generation Y. By adopting a consumer dominant view and a multidimensional perspective of consumer value the study aims to show how the vinyl record’s customer value is constructed in the eyes of its consumers. Through interviews the authors managed to revise the original customer value and highlight the most important value dimensions. The authors suggest that the main reasons why young consumers choose to use vinyl is the vinyl record’s ability to strengthen the focus on the music via physical interactive engagement, to include consumers in a social network/community and to provide a holistic experience beyond the purely sonic nature of the music.

Zugl.: Bochum, Univ., Habil.-Schr., 2004

Zugl.: Köln, Univ., Diss., 2004