Characters of Iwahori-Hecke algebras

Abstract

In this paper we prove a quantum generalization of Regev's theorems in (Israel. J. Math. 195 (2013), 31--35) by applying the Schur-Weyl duality between the quantum superalgebra and Iwahori-Hecke algebra. We also present an alternative proof of the quantized generalizations using the skew character theory of Iwahori-Hecke algebras.

Final version: added a new section 5 to contain the algebraic proof of arXiv:1710.02778

References in corpus (1)

• A Note on Skew Characters of Symmetric Groups

Cited by in corpus (2)

• On irreducible characters of the Iwahori-Hecke algebra in type $A$
• Irreducible characters and bitrace for the $q$-rook monoid