English

Characters of Iwahori-Hecke algebras

Representation Theory 2018-09-24 v3

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.

Keywords

Cite

@article{arxiv.1708.09584,
  title  = {Characters of Iwahori-Hecke algebras},
  author = {Deke Zhao},
  journal= {arXiv preprint arXiv:1708.09584},
  year   = {2018}
}

Comments

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