The seminar focuses on a recent solution, by the authors, of a long standing problem concerning the stable module category (of not necessarily finite dimensional representations) of a finite group. The proof draws on ideas from commutative algebra, cohomology of groups, and stable homotopy theory....
The workshop Representations of Finite Groups was organised by Olivier Dudas (Marseille), Meinolf Geck (Stuttgart), Radha Kessar (Manchester), and Gabriel Navarro (Valencia). It covered a wide variety of aspects of the representation theory of finite groups and related topics, and showcased ...
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Let be a finite quasi-simple group of Lie type. One of the important problems in modular representation theory is to determine when the restriction of an a... H Nguyen - Dissertations & Theses - Gradworks 被引量: 16发表: 2008年 Representations of finite groups: Local cohomology and support...
In this chapter we are concerned only with finite-dimensional representations, mainly complex ones. Recall that in Section 2 we have shown that every complex linear representation of a finite group is unitary, and hence completely reducible.
Yu.V. Kuz'minSpringer Nature America, IncSiberian Mathematical JournalJ. V. Kuzmin, Representations of finite groups by automorphisms of nilpotent near spaces and by automorphisms of nilpotent groups. Sibirsk. Mat. Zˇ. 13 (1972), 107-117....
This is a fundamental result, of constant use in mathematics as well as in quantum chemistry or physics. I have tried to give proofs as elementary as possible, using only the definition of a group and the rudiments of linear algebra. The examples (Chapter 5) have been chosen from those ...
Then Sym2(V) and Alt2(V) are invariant under G and V⊗V=Sym2(V)⊕Alt2(V) . They are called the symmetric square and alternating square of V⊗V, respectively. References: Serre.J.P. Linear Representations of Finite Groups. Lang.S. Algebra....
REPRESENTATIONS OF FINITE GROUPS Author links open overlay panelShow more Add to Mendeley Share Cite https://doi.org/10.1016/B978-1-4832-3313-0.50021-XGet rights and contentAccess through your organization Check access to the full text by signing in through your organization. Access through ...
The main purpose is to give a description of the interplay between combinatorics (especially the study of partitions and related objects) and irreducible representations of some classes of finite groups (especially symmetric groups and their coverings and some linear groups). The origin was the study...