Abstract
In this paper we prove a quantum generalization of Regev’s theorems (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.
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Dedicated to Professor Nanhua Xi on the occasion of his 55th birthday
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Zhao, D. Characters of Iwahori–Hecke algebras. Isr. J. Math. 229, 67–83 (2019). https://doi.org/10.1007/s11856-018-1779-9
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DOI: https://doi.org/10.1007/s11856-018-1779-9