Combinatorial Gelfand Models
Ron M. Adin, Alexander Postnikov, Yuval Roichman
TL;DR
This paper introduces a combinatorial method to construct Gelfand models for symmetric groups and their Iwahori-Hecke algebras, providing a new algebraic framework.
Contribution
It presents a novel combinatorial construction of Gelfand models specifically for symmetric groups and Iwahori-Hecke algebras, expanding existing algebraic techniques.
Findings
Constructed explicit Gelfand models combinatorially
Applicable to symmetric groups and Iwahori-Hecke algebras
Provides new insights into algebraic representations
Abstract
A combinatorial construction of a Gelafand model for the symmetric group and its Iwahori-Hecke algebra is presented.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Combinatorial Mathematics