Generalized Blocks of Unipotent Characters in the Finite General Linear Group
نویسندگان
چکیده
منابع مشابه
Generalized Blocks of Unipotent Characters in the Finite General Linear Group
In a paper of 2003, B. Külshammer, J. B. Olsson and G. R. Robinson defined l-blocks for the symmetric groups, where l > 1 is an arbitrary integer, and proved that they satisfy an analogue of the Nakayama Conjecture. Inspired by this work and the definitions of generalized blocks and sections given by the authors, we give in this paper a definition of d-sections in the finite general linear grou...
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 کاملRestricting Unipotent Characters in Finite Symplectic Groups
We compute the irreducible constituents of the restrictions of all unipotent characters of the groups Sp4(q) and Sp6(q) and odd q to their maximal parabolic subgroups stabilizing a line. It turns out that these restrictions are multiplicity free. We also obtain general information about the restrictions of Harish-Chandra induced characters.
متن کاملCharacters of unipotent groups over finite fields
Let G be a connected unipotent group over a finite field Fq. In this article we propose a definition of L-packets of complex irreducible representations of the finite group G(Fq) and give an explicit description of L-packets in terms of the so-called “admissible pairs” for G. We then apply our results to show that if the centralizer of every geometric point of G is connected, then the dimension...
متن کاملInduced Characters of the Projective General Linear Group over a Finite Field
Using a general result of Lusztig, we find the decomposition into irreducibles of certain induced characters of the projective general linear group over a finite field of odd characteristic.
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: Communications in Algebra
سال: 2008
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927870802175055