Dreieckverbande : lineare und quadratische darstellungstheorie

dc.contributor.advisorGross, H.
dc.contributor.authorWild, Marcel Wolfgang
dc.contributor.otherUniversity of Zurich
dc.descriptionProf. Marcel Wild completed his PhD with Zurick University and this is a copy of the original worksen_ZA
dc.descriptionThe original works can be found at
dc.description.abstractABSTRACT: 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.extent104 p.
dc.publisherUniversity of Zurichen_ZA
dc.subjectModular latticesen_ZA
dc.subjectTriangle latticesen_ZA
dc.subjectLinear representation theoryen_ZA
dc.subjectUncountable quadratic spacesen_ZA
dc.subjectDissertations -- Mathematicsen_ZA
dc.subjectTheses -- Mathematicsen_ZA
dc.titleDreieckverbande : lineare und quadratische darstellungstheoriede
dc.title.alternativeTriangle lattices : linear and quadratic representation theoryen_ZA
dc.rights.holderUniversity of Zurichen_ZA

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