On J-folded Alcove Paths and Combinatorial Representations of Affine Hecke Algebras

IF 0.5 4区数学 Q3 MATHEMATICS

Algebras and Representation Theory Pub Date : 2024-11-05 DOI:10.1007/s10468-024-10293-7

Jérémie Guilhot, Eloise Little, James Parkinson

引用次数: 0

Abstract

We introduce the combinatorial model of J-folded alcove paths in an affine Weyl group and construct representations of affine Hecke algebras using this model. We study boundedness of these representations, and we state conjectures linking our combinatorial formulae to Kazhdan-Lusztig theory and Opdam’s Plancherel Theorem.

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仿射Hecke代数的j折叠凹形路径与组合表示

引入仿射Weyl群中j -折叠凹形路径的组合模型，并利用该模型构造仿射Hecke代数的表示。我们研究了这些表示的有界性，并提出了将我们的组合公式与Kazhdan-Lusztig理论和Opdam的Plancherel定理联系起来的猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebras and Representation Theory 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebras and Representation Theory features carefully refereed papers relating, in its broadest sense, to the structure and representation theory of algebras, including Lie algebras and superalgebras, rings of differential operators, group rings and algebras, C*-algebras and Hopf algebras, with particular emphasis on quantum groups. The journal contains high level, significant and original research papers, as well as expository survey papers written by specialists who present the state-of-the-art of well-defined subjects or subdomains. Occasionally, special issues on specific subjects are published as well, the latter allowing specialists and non-specialists to quickly get acquainted with new developments and topics within the field of rings, algebras and their applications.