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arXiv · 1809.02170

A super Frobenius formula for the characters of cyclotomic Hecke algebras

Deke Zhao
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Abstract

We prove a super Frobenius formula for the characters of the cyclotomic Hecke algebras by applying the super Schur-Weyl reciprocity between the quantum superalgebras and cyclotomic Hecke algebras, which is a super analogue of the Frobenius formula in (T. Shoji, J. Algebra 226: 2000, 818--856) and a cyclotomic analogue of the super Frobeinus formula in (H. Mitsuhashi, Linear Multilinear Algebra 58: 2010, 941--955).

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Deke Zhao. 2018-09-05. A super Frobenius formula for the characters of cyclotomic Hecke algebras. https://arxiv.org/abs/1809.02170

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