Titlebook: Representation Theory of Finite Groups and Finite-Dimensional Algebras; Proceedings of the C G. O. Michler,C. M. Ringel Conference proceedi

enormous

Partial characters of π-separable groupso new results here and few new ideas. Our purpose is to present in as accessible a manner as possible, the proofs of some theorems in the character theory of π-separable groups, and to explain the significance of these results.

adjacent

Endotrivial modules and the Auslander-Reiten quiverng, then almost always the group algebra . is of wild representation type and there is no classification of all its indecomposable modules. Searching for a useful family of modules that could still be classified Dade was led to study .-modules, i.e. .-lattices whose .-endomorphisms form a permutatio

横条

Polynomial representations of finite general linear groups in non-describing characteristicome Frobenius map of Γ. Then . is a finite group of Lie type. The .-modular representations of . for . = char . (the “describing” characteristic case) are closely related to rational representations of Γ, and thus results from the theory of reductive algebraic groups can be used to develop the repre

chandel

Crater

Decomposition numbers of finite groups of Lie type in non-defining characteristicact that block theory and Deligne-Lusztig theory are highly compatible for these groups. Since then a lot of work has been done on the ℓ-modular character theory of groups of Lie type where ℓ is a prime different from the underlying characteristic of the group. In this survey article I shall present

Cerumen

Counting blocks of defect zeroh . - is clearly the dimension of a suitable ideal in the center of the group algebra ., where . is a field of characteristic .. It is well known that this number is zero, if . has a non-trivial normal .-subgroup ., say. In this situation, however, one may still ask for the number of blocks of the f

white-matter

exercise

justify

Goblet-Cells