Induction and restriction of two variable Hecke algebras
Woo-Seok Jung, Young-Tak Oh
TL;DR
This paper investigates the induction and restriction processes in two-variable Hecke algebras, providing explicit formulas and analyzing the effects of involutions on these operations.
Contribution
It offers explicit Mackey decomposition formulas and insights into how involutions interact with induction and restriction in two-variable Hecke algebras.
Findings
Explicit Mackey decomposition formula derived
Interaction of involutions with induction and restriction clarified
Enhanced understanding of algebraic structure of two-variable Hecke algebras
Abstract
The purpose of this paper is to study induction and restriction of two-variable Hecke algebras. First, we provide the explicit form of the Mackey decomposition formula. And then, we elucidate how (anti-)involutions interact with induction product and restriction.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Molecular spectroscopy and chirality