Results 1 to 10 of about 292 (47)

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

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

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

COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES

open access: yesForum of Mathematics, Sigma, 2016
Let $E$ be an elliptic curve without complex multiplication (CM) over a number field $K$
ANDREW V. SUTHERLAND
doaj   +1 more source

On the unipotent support of character sheaves [PDF]

open access: yes, 2008
Let $G$ be a connected reductive group over $F_q$, where $q$ is large enough and the center of $G$ is connected. We are concerned with Lusztig's theory of {\em character sheaves}, a geometric version of the classical character theory of the finite group $
Geck, Meinolf, Hézard, David
core   +1 more source

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