Results 11 to 20 of about 67 (57)

On CRDAHA and finite general linear and unitary groups [PDF]

open access: yes, 2014
We show a connection between Lusztig induction operators in finite general linear and unitary groups and parabolic induction in cyclotomic rational double affine Hecke algebras.
B. Srinivasan
semanticscholar   +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 ${\it\alpha}$ -INVARIANT AND THOMPSON’S CONJECTURE

open access: yesForum of Mathematics, Pi, 2016
In 1981, Thompson proved that, if $n\geqslant 1$ is any integer and $G$
PHAM HUU TIEP
doaj   +1 more source

Lie Group Invariants of Inhomogeneous Polynomial Vector Spaces

open access: yesJournal of Lie theory, 2007
We present a method which efficiently generates Lie group invariants in the classical invariant theory of polynomials and its extensions to vector spaces of inhomogeneous polynomials under the actions of the general affine group and pseudo-Euclidean ...
J. Horwood
semanticscholar   +1 more source

A local-global principle for unipotent characters

open access: yesForum of Mathematics, Sigma
We obtain an adaptation of Dade’s Conjecture and Späth’s Character Triple Conjecture to unipotent characters of simple, simply connected finite reductive groups of type $\mathbf {A}$ , $\mathbf {B}$ and $\mathbf {C}$ .
Damiano Rossi
doaj   +1 more source

Corrigendum to “The Weil-Steinberg character of finite classical groups”

open access: yes, 2011
This paper corrects the statement and the proof of Theorem 1.5 of the paper quoted in the title. Theorem 1.5 of our paper [1] requires a correction. Below we provide a new statement of this theorem and correct the proof.
G. Hiss, A. Zalesski
semanticscholar   +1 more source

Inductive local-global conditions and generalised Harish-Chandra theory

open access: yesForum of Mathematics, Sigma
We study new properties of generalised Harish-Chandra theory aiming at explaining the inductive local-global conditions for finite groups of Lie type in nondefining characteristic.
Damiano Rossi
doaj   +1 more source

Moments, Exponential Sums, and Monodromy Groups

open access: yesForum of Mathematics, Sigma
We determine the geometric monodromy groups attached to various families, both one-parameter and multi-parameter, of exponential sums over finite fields, or, more precisely, the geometric monodromy groups of the $\ell $ -adic local systems on ...
Nicholas M. Katz, Pham Huu Tiep
doaj   +1 more source

Suspected Transverse Myelitis with Normal MRI and CSF Findings in a Patient with Lupus: What to Do? A Case Series and Systematic Review. [PDF]

open access: yesNeuropsychiatr Dis Treat, 2020
Monahan RC   +10 more
europepmc   +1 more source

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