A super Frobenius formula for the characters of cyclotomic Hecke algebras
A super Frobenius formula for the characters of cyclotomic Hecke algebras
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分圆Hecke代数特征的超Frobenius公式
DOI：
10.1080/03081087.2019.1663140
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发表时间：
--
影响因子：
1.1
通讯作者：
Zhao Deke
中科院分区：
文献类型：
--
作者：
Zhao Deke
利用量子超代数与分圆Hecke代数之间的超Schur-Weyl互易性，证明了分圆Hecke代数特征的超Frobenius公式，它是T. Shoji [J.Algebra226：2000，818-856]和H. Mitsuhashi [Linear Multilinear Algebra58：2010，941-955].
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. Algebra226: 2000, 818–856] and a cyclotomic analogue of the super Frobenius formula in H. Mitsuhashi [Linear Multilinear Algebra58: 2010, 941–955].