Results 1 to 10 of about 331 (55)

Algebraic subgroups of the plane Cremona group over a perfect field [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2021
We show that any infinite algebraic subgroup of the plane Cremona group over a perfect field is contained in a maximal algebraic subgroup of the plane Cremona group.
Julia Schneider, Susanna Zimmermann
doaj   +1 more source

Automorphic vector bundles on the stack of G-zips

open access: yesForum of Mathematics, Sigma, 2021
For a connected reductive group G over a finite field, we study automorphic vector bundles on the stack of G-zips. In particular, we give a formula in the general case for the space of global sections of an automorphic vector bundle in terms of the ...
Naoki Imai, Jean-Stefan Koskivirta
doaj   +1 more source

Elements in finite classical groups whose powers have large 1-Eigenspaces [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2014
Special issue in honor of Laci Babai's 60th ...
Alice Niemeyer, Cheryl Praeger
doaj   +1 more source

Corrigendum to ‘Endoscopy for Hecke categories, character sheaves and representations’

open access: yesForum of Mathematics, Pi, 2021
We fix an error on a $3$ -cocycle in the original version of the paper ‘Endoscopy for Hecke categories, character sheaves and representations’. We give the corrected statements of the main results.
George Lusztig, Zhiwei Yun
doaj   +1 more source

ENDOSCOPY FOR HECKE CATEGORIES, CHARACTER SHEAVES AND REPRESENTATIONS

open access: yesForum of Mathematics, Pi, 2020
For a reductive group $G$ over a finite field, we show that the neutral block of its mixed Hecke category with a fixed monodromy under the torus action is monoidally equivalent to the mixed Hecke category of the corresponding endoscopic group $H$ with ...
GEORGE LUSZTIG, ZHIWEI YUN
doaj   +1 more source

Automorphism groups of Beauville surfaces [PDF]

open access: yes, 2011
A Beauville surface of unmixed type is a complex algebraic surface which is the quotient of the product of two curves of genus at least 2 by a finite group G acting freely on the product, where G preserves the two curves and their quotients by G are ...
G. Jones
semanticscholar   +1 more source

Lifting representations of finite reductive groups: a character relation [PDF]

open access: yes, 2015
Given a connected reductive group $\tilde{G}$ over a finite field $k$, and a semisimple $k$-automorphism $\varepsilon$ of $\tilde{G}$ of finite order, let $G$ denote the connected part of the group of $\varepsilon$-fixed points.
Digne   +9 more
core   +1 more source

On the average values of the irreducible characters of finite groups of Lie type on geometric unipotent classes

open access: yesDocumenta Mathematica, 1996
In 1980, Lusztig posed the problem of showing the existence of a unipotent support for the irreducible characters of a nite reductive group G(F q ). This is de ned in terms of certain average values of the irreducible characters on unipotent classes. The
M. Geck
semanticscholar   +1 more source

The (2,3)-generation of the special unitary groups of dimension 6 [PDF]

open access: yes, 2015
In this paper we give explicit (2,3)-generators of the unitary groups SU_6(q^ 2), for all q.
M. A. Pellegrini   +3 more
core   +1 more source

FINE DELIGNE–LUSZTIG VARIETIES AND ARITHMETIC FUNDAMENTAL LEMMAS

open access: yesForum of Mathematics, Sigma, 2019
We prove a character formula for some closed fine Deligne–Lusztig varieties. We apply it to compute fixed points for fine Deligne–Lusztig varieties arising from the basic loci of Shimura varieties of Coxeter type.
XUHUA HE, CHAO LI, YIHANG ZHU
doaj   +1 more source

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