Results 21 to 30 of about 56 (39)

An update on Haiman’s conjectures

Forum of Mathematics, Sigma
We revisit Haiman’s conjecture on the relations between characters of Kazdhan–Lusztig basis elements of the Hecke algebra over $S_n$ . The conjecture asserts that, for purposes of character evaluation, any Kazhdan–Lusztig basis element is reducible
Alex Corrêa Abreu, Antonio Nigro
doaj   +1 more source

Stability in the category of smooth mod-p representations of ${\mathrm {SL}}_2(\mathbb {Q}_p)$

Forum of Mathematics, Sigma
Let $p \geq 5$ be a prime number, and let $G = {\mathrm {SL}}_2(\mathbb {Q}_p)$ . Let $\Xi = {\mathrm {Spec}}(Z)$ denote the spectrum of the centre Z of the pro-p Iwahori–Hecke algebra of G with coefficients in a field k of ...
Konstantin Ardakov, Peter Schneider
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Geometrization of the Satake transform for mod p Hecke algebras

Forum of Mathematics, Sigma
We geometrize the mod p Satake isomorphism of Herzig and Henniart–Vignéras using Witt vector affine flag varieties for reductive groups in mixed characteristic. We deduce this as a special case of a formula, stated in terms of the geometry of generalized
Robert Cass, Yujie Xu
doaj   +1 more source

A categorical action of the shifted $0$ -affine algebra

Forum of Mathematics, Sigma
We introduce a new algebra $\mathcal {U}=\dot {\mathrm {\mathbf{U}}}_{0,N}(L\mathfrak {sl}_n)$ called the shifted $0$ -affine algebra, which emerges naturally from studying coherent sheaves on n-step partial flag varieties through natural ...
You-Hung Hsu
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The -Schur² algebra

, 2000
We study a class of endomomorphism algebras of certain q-permutation modules over the Hecke algebra of type B, whose summands involve both parabolic and quasi-parabolic subgroups, and prove that these algebras are integrally free and quasi-hereditary ...
J. Du, L. Scott
semanticscholar   +1 more source

Affine Bruhat order and Demazure products

Forum of Mathematics, Sigma
We give new descriptions of the Bruhat order and Demazure products of affine Weyl groups in terms of the weight function of the quantum Bruhat graph.
Felix Schremmer
doaj   +1 more source

Propagation de paires couvrantes dans les groupes symplectiques

, 2006
Let π be a self-dual supercuspidal representation of GL(N, F ) and ρ a supercuspidal representation of Sp(2k, F ), with F a local nonarchimedean field of odd residual characteristic. Given a type, indeed a Sp(2N + 2k, F )cover, for the inertial class [GL(
Corinne Blondel
semanticscholar   +1 more source

Regular Schur labeled skew shape posets and their 0-Hecke modules

Forum of Mathematics, Sigma
Assuming Stanley’s P-partitions conjecture holds, the regular Schur labeled skew shape posets are precisely the finite posets P with underlying set $\{1, 2, \ldots , |P|\}$ such that the P-partition generating function is symmetric and the set of ...
Young-Hun Kim, So-Yeon Lee, Young-Tak Oh
doaj   +1 more source

Erratum to “Left cells and constructible representations”

, 2007
Thomas Pietraho pointed out a problem in the proof of one of the main results in “Left cells and constructible representations”, Represent. Theory 9 (2005), 385–416. The purpose of this note is to correct this problem.
M. Geck
semanticscholar   +1 more source

Quasi-polynomial representations of double affine Hecke algebras

Forum of Mathematics, Sigma
We introduce an explicit family of representations of the double affine Hecke algebra $\mathbb {H}$ acting on spaces of quasi-polynomials, defined in terms of truncated Demazure-Lusztig type operators.
Siddhartha Sahi, Jasper Stokman, Vidya Venkateswaran   +2 more
doaj   +1 more source