Results 61 to 70 of about 802 (140)

Rationality of extended unipotent characters

open access: yesArchiv der Mathematik
AbstractWe determine the rationality properties of unipotent characters of finite reductive groups arising as fixed points of disconnected reductive groups under a Frobenius map. In the proof, we use realisations of characters in $$\ell $$ ℓ -adic cohomology groups of Deligne–Lusztig varieties as well as block ...
Dudas, Olivier, Malle, Gunter
openaire   +4 more sources

Notes on unipotent classes [PDF]

open access: yesAsian Journal of Mathematics, 1997
The purpose of this paper is to take some of the mystery out of the concept of a special unipotent conjugacy class by giving a more geometric treatment in terms of the closely related special pieces introduced by \textit{N. Spaltenstein} [Classes unipotentes et sous-groupes de Borel, Lect. Notes Math. 946 (1982; Zbl 0486.20025)].
openaire   +1 more source

Unipotent centralizers in algebraic groups

open access: yesJournal of Algebra, 2004
Let \(G\) be a simple algebraic group over an algebraically closed field \(K\) of characteristic \(p>0\) with \(p\) a good prime for \(G\). Let \(u\in G\) be unipotent. Canonical embeddings of \(u\) in Abelian unipotent subgroups are studied to obtain results about \(C_G(u)\) -- in particular, \(Z(C_G(u))\) and the reductive part of \(C_G(u)\).
openaire   +1 more source

On the unipotent support of character sheaves

open access: yes, 2007
11 pages; to appear in Osaka J. Math.
Geck, Meinolf, Hézard, David
openaire   +5 more sources

Unipotent variety in the group compactification

open access: yesAdvances in Mathematics, 2006
The unipotent variety of a reductive algebraic group $G$ plays an important role in the representation theory. In this paper, we will consider the closure $\bar{\Cal U}$ of the unipotent variety in the De Concini-Procesi compactification $\bar{G}$ of a connected simple algebraic group $G$. We will prove that $\bar{\Cal U}-\Cal U$ is a union of some $G$-
openaire   +3 more sources

Upper Triangularity for Unipotent Representations

open access: yes, 2019
Suppose $G$ is a real reductive group. The determination of the irreducible unitary representations of $G$ is one of the major unsolved problem in representation theory. There is evidence to suggest that every irreducible unitary representation of $G$ can be constructed through a sequence of well-understood operations from a finite set of building ...
openaire   +3 more sources

Singular Adult Neural Stem Cells Do Not Exist. [PDF]

open access: yesCells, 2022
Petrik D   +3 more
europepmc   +1 more source

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