Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 12 of 12 for “"Darstellungstheorie"”.
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Morita-Äquivalenzen in der algorithmischen Darstellungstheorie
This thesis contributes to the algorithmic representation theory of sporadic simple groups. We augment the condensation method by allowing to condense with an arbitrary primitive idempotent of a linear character of the condensation subgroup. To this end we introduce the necessary algorithms …
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Charaktertafeln parabolischer Untergruppen der Steinbergschen Trialitätsgruppen und Anwendungen auf deren Darstellungstheorie
The first part of this thesis deals with the character tables of the maximal parabolic subgroups of Steinberg's triality groups. First, an algorithm is presented, based on the Steinberg presentation, for generic computations in finite groups of Lie type and connected reductive algebraic groups. …
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Spin Representations of the q-Poincare Algebra
… Struktur der q-Lorentz-Algebra untersucht. Ihre Darstellungstheorie einschliesslich expliziter Formeln fuer die q-Clebsch-Gordan-Koeffzienten wird zusammengefasst. Nach einer allgemeinen Betrachtung von Tensor-Operatoren in Hopf-Algebren werden die Vektorgeneratoren der Quantenalgebra der …
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Klassifikation gewisser Darstellungen halbeinfacher Liealgebren
… wird, bei den Beweisen Argumente aus der Darstellungstheorie zu bevorzugen. Gemäß dem ersten Paragraphen sind für die einzelnen Typen einfacher Liealgebren fast alle irreduziblen Darstellungen schlecht. Bei jedem Typ bleibt nur eine kurze Liste von möglicherweise guten Darstellungen übrig. …
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Group rings over the p-adic integers
The thesis "Group Rings over the p-Adic Integers" is concerned with the representation theory of finite groups over the ring of p-adic integers (or, usually, an algebraic extension thereof). It deals with blocks of special linear groups of degree two, blocks of dihedral defect and blocks of …
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Unipotente Charaktere und Zerlegungszahlen der endlichen Chevalleygruppen vom Typ F 4
This thesis contributes to the representation theory of finite Chevalleygroups. First we describe algorithms for explicit computation in connected reductive algebraic groups. These algorithms are well adapted to the computation in some finite subgroups, i.e., the finite groups of Lie type and their …
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Representation theory of association schemes
This thesis is motivated by the algebraic treatment given to association schemes and its natural occurrence in the theory of finite permutation groups.The present work deals with the representation theory of association schemes, which is the study of representations of the underlying adjacency …
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Untersuchungen zu Tensorprodukten von Moduln symmetrischer Gruppen
Tensor products of modules of a finite group occur in many areas of ordinary and modular representation theory. In general only little is known about the structure of these modules. This thesis is about various aspects of tensor products of modules of symmetric groups S_n over a field of prime …
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Über die Elementarteiler der Inzidenzmatrix des Ree-Unitals
The Ree unital is a certain 2-design which admits the Ree group G:=R(q) of parameter q (where q is a power of 3 with odd exponent) as a group of design-automorphisms. We investigate the elementary divisors of the incidence matrix of the Ree unital. The elementary divisors mentioned above reflect …
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Finite symplectic matrix groups
The finite subgroups of GL(m, Q) are those subgroups that fix a full lattice in Q^m together with some positive definite symmetric form. A subgroup of GL(m, Q) is called symplectic, if it fixes a nondegenerate skewsymmetric form. Such groups only exist if m is even. A symplectic subgroup of GL(2n, …
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Automorphism groups of self-dual codes
This thesis treats linear block codes, which are classically used in the storage and transmission of digital information. The dual of such a code is the orthogonal space with respect to a Euclidian or Hermitian scalar product. A code which equals its dual is called self-dual. Self-dual codes are of …