Brauer trees of unipotent blocks
نویسندگان
چکیده
منابع مشابه
Coxeter orbits and Brauer trees
We study the cohomology with modular coefficients of Deligne-Lusztig varieties associated to Coxeter elements. Under some torsion-free assumption on the cohomology we derive several results on the principal l-block of a finite reductive group G(Fq) when the order of q modulo l is assumed to be the Coxeter number. These results include the determination of the planar embedded Brauer tree of the ...
متن کاملCoxeter orbits and Brauer trees II
The purpose of this paper is to discuss the validity of the assumptions (W) and (S) stated in [12], about the torsion in the modular l-adic cohomology of Deligne-Lusztig varieties associated with Coxeter elements. We prove that both (W) and (S) hold except for groups of type E7 or E8.
متن کاملThe Blocks of the Brauer Algebra in Characteristic Zero
We determine the blocks of the Brauer algebra in characteristic zero. We also give information on the submodule structure of standard modules for this algebra.
متن کاملOn the Blocks of the Walled Brauer Algebra
We determine the blocks of the walled Brauer algebra in characteristic zero. These can be described in terms of orbits of the action of a Weyl group of type A on a certain set of weights. In positive characteristic we give a linkage principle in terms of orbits of the corresponding affine Weyl group. We also classify the semisimple walled Brauer algebras in all characteristics.
متن کاملQuadratic Unipotent Blocks in General Linear, Unitary and Symplectic Groups
An irreducible ordinary character of a finite reductive group is called quadratic unipotent if it corresponds under Jordan decomposition to a semisimple element s in a dual group such that s = 1. We prove that there is a bijection between, on the one hand the set of quadratic unipotent characters of GL(n, q) or U(n, q) for all n ≥ 0 and on the other hand, the set of quadratic unipotent characte...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2020
ISSN: 1435-9855
DOI: 10.4171/jems/978