Schur-Weyl reciprocity between the quantum superalgebra and the Iwahori-Hecke algebra

Details Schur-Weyl reciprocity between the quantum superalgebra and the Iwahori-Hecke algebra Schur-Weyl reciprocity between the quantum superalgebra and the Iwahori-Hecke algebra

2005-06-09

arxiv.org/abs/math/0506156v1

Mathematics

Representation Theory

14 pages with no figure

Scientific paper

In this paper, we introduce the sign q-permutation representation of the Iwahori-Hecke algebra on the tensor space of the graded vector space. We establish Schur-Weyl reciprocity between the quantum general super Lie algebra and the Iwahori-Hecke algebra. Our result includes Schur-Weyl reciprocity of both the super case and the quantum case, and unifies those two important cases.

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