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… Click to show full 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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