Results 1 to 10 of about 38 (38)

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

Épijournal 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

Forum 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

The combinatorics of normal subgroups in the unipotent upper triangular group [PDF]

, 2021
Uniformly describing the conjugacy classes of the unipotent upper triangular groups \(\mathrm{UT}_{n}(\mathbb{F}_{q})\) (for all or many values of \(n\) and \(q\)) is a nearly impossible task.
Gagnon, Lucas
core   +1 more source

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

Discrete 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’

Forum 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

Forum 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

Finite subgroups of F_4 (C) and E_6 (C) [PDF]

, 1997
The isomorphism types of finite Lie primitive subgroups of the complex Lie groups E6(C) and F4(C) are determined. Here, we call a finite subgroup of a complex Lie group G Lie primitive if it is not contained in a proper closed subgroup of G of positive ...
Wales, David B., Cohen, Arjeh M., Wales, DB David, Cohen, AM Arjeh, Wales, D.B., Cohen, A.M.   +5 more
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FINE DELIGNE–LUSZTIG VARIETIES AND ARITHMETIC FUNDAMENTAL LEMMAS

Forum 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

Forum of Mathematics, Sigma, 2016
Let $E$ be an elliptic curve without complex multiplication (CM) over a number field $K$
ANDREW V. SUTHERLAND
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Orthogonality relations for deep level Deligne–Lusztig schemes of Coxeter type

Forum of Mathematics, Sigma
In this paper, we prove some orthogonality relations for representations arising from deep level Deligne–Lusztig schemes of Coxeter type. This generalizes previous results of Lusztig [Lus04], and of Chan and the second author [CI21b].
Olivier Dudas, Alexander B. Ivanov
doaj   +1 more source