Dreieckverbande : lineare und quadratische darstellungstheorie

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dc.contributor.advisor Gross, H.
dc.contributor.author Wild, Marcel Wolfgang
dc.contributor.other University of Zurich
dc.date.accessioned 2012-08-28T06:54:20Z
dc.date.available 2012-08-28T06:54:20Z
dc.date.issued 1987-05
dc.identifier.uri http://hdl.handle.net/10019.1/70322
dc.description Prof. Marcel Wild completed his PhD with Zurick University and this is a copy of the original works en_ZA
dc.description The original works can be found at http://www.hbz.uzh.ch/ en_ZA
dc.description.abstract ABSTRACT: A linear representation of a modular lattice L is a homomorphism from L into the lattice Sub(V) of all subspaces of a vector space V. The representation theory of lattices was initiated by the Darmstadt school (Wille, Herrmann, Poguntke, et al), to large extent triggered by the linear representations of posets (Gabriel, Gelfand-Ponomarev, Nazarova, Roiter, Brenner, et al). Even though posets are more general than lattices, none of the two theories encompasses the other. In my thesis a natural type of finite lattice is identified, i.e. triangle lattices, and their linear representation theory is advanced. All of this was triggered by a more intricate setting of quadratic spaces (as opposed to mere vector spaces) and the question of how Witt’s Theorem on the congruence of finite-dimensional quadratic spaces lifts to spaces of uncountable dimensions. That issue is dealt with in the second half of the thesis. en_ZA
dc.format.extent 104 p.
dc.language.iso de en_ZA
dc.publisher University of Zurich en_ZA
dc.subject Modular lattices en_ZA
dc.subject Triangle lattices en_ZA
dc.subject Linear representation theory en_ZA
dc.subject Uncountable quadratic spaces en_ZA
dc.subject Dissertations -- Mathematics en_ZA
dc.subject Theses -- Mathematics en_ZA
dc.title Dreieckverbande : lineare und quadratische darstellungstheorie de
dc.title.alternative Triangle lattices : linear and quadratic representation theory en_ZA
dc.type Thesis en_ZA
dc.rights.holder University of Zurich en_ZA
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