Results 31 to 40 of about 560 (58)

Multiplicative Bases for the Centres of the Group Algebra and Iwahori-Hecke Algebra of the Symmetric Group

, 2012
Let $\H_n$ be the Iwahori-Hecke algebra of the symmetric group $S_n$, and let $Z(\H_n)$ denote its centre. Let $B={b_1,b_2,...,b_t}$ be a basis for $Z(\H_n)$ over $R=\Z[q,q^{-1}]$. Then $B$ is called \emph{multiplicative} if, for every $i$ and $j$, there
Francis, Andrew, Jones, Lenny
core   +1 more source

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

An alternative basis for the Kauffman bracket skein module of the Solid Torus via braids

, 2018
In this paper we give an alternative basis, $\mathcal{B}_{\rm ST}$, for the Kauffman bracket skein module of the solid torus, ${\rm KBSM}\left({\rm ST}\right)$.
I Diamantis, I Diamantis, J Przytycki, S Lambropoulou, S Lambropoulou, Sofia Lambropoulou, VFR Jones   +6 more
core   +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
doaj   +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

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

The hyperbolic formal affine Demazure algebra

, 2016
In the present paper we extend the construction of the formal (affine) Demazure algebra due to Hoffnung, Malag\'on-L\'opez, Savage and Zainoulline in two directions.
Leclerc, Marc-Antoine
core   +1 more source

Topological steps toward the Homflypt skein module of the lens spaces $L(p,1)$ via braids

, 2016
In this paper we work toward the Homflypt skein module of the lens spaces $L(p,1)$, $\mathcal{S}(L(p,1))$, using braids. In particular, we establish the connection between $\mathcal{S}({\rm ST})$, the Homflypt skein module of the solid torus ST, and ...
Diamantis, Ioannis, Lambropoulou, Sofia, Przytycki, Jozef   +2 more
core   +1 more source

Hecke algebras with unequal parameters and Vogan's left cell invariants

, 2015
In 1979, Vogan introduced a generalised $\\tau$ -invariant for characterising primitive ideals in enveloping algebras. Via a known dictionary this translates to an invariant of left cells in the sense of Kazhdan and Lusztig. Although it is not a complete
B Elias, C Bonnafé, C Bonnafé, C Bonnafé, C Bonnafé, D A Vogan Jr, D A Vogan Jr, D Barbasch, D Garfinkle, D Garfinkle, D Kazhdan, J Guilhot, J Shi, J Shi, M Geck, M Geck, M Geck, W M McGovern   +17 more
core   +2 more sources

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