Remarks on skew characters of Iwahori-Hecke algebras
Deke Zhao
TL;DR
This paper provides a new proof of quantum generalizations of Regev's theorems using the Murnaghan-Nakayama formula for skew characters in Iwahori-Hecke algebras, advancing understanding of their representation theory.
Contribution
It introduces a novel proof technique for quantum Regev's theorems leveraging the Murnaghan-Nakayama formula in the context of Iwahori-Hecke algebras.
Findings
New proof of quantum Regev's theorems
Application of Murnaghan-Nakayama formula to skew characters
Enhanced understanding of Iwahori-Hecke algebra representations
Abstract
In this short note we give a new proof of the quantum generalization of Regev's theorems by applying the Murnaghan-Nakayama formula for skew characters of the generic Iwahori-Hecke algebra.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Geometry