Results 21 to 30 of about 524 (40)

Fusion Procedure for Cyclotomic Hecke Algebras [PDF]

, 2014
A complete system of primitive pairwise orthogonal idempotents for cyclotomic Hecke algebras is constructed by consecutive evaluations of a rational function in several variables on quantum contents of multi-tableaux.
d'Andecy, Loïc Poulain, Ogievetsky, Oleg V.   +1 more
core   +4 more sources

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

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

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

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

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

An expansion of the Jones representation of genus 2 and the Torelli group

, 2000
We study the algebraic property of the representation of the mapping class group of a closed oriented surface of genus 2 constructed by VFR Jones [Annals of Math. 126 (1987) 335-388].
Birman, Fulton, Humphries, Lazard, Morita, Morita, Yasushi Kasahara   +6 more
core   +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

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

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