Schur-Weyl reciprocity between the quantum superalgebra and the Iwahori-Hecke algebra
Representation Theory
2007-05-23 v1 Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.math/0506156,
title = {Schur-Weyl reciprocity between the quantum superalgebra and the Iwahori-Hecke algebra},
author = {H. Mitsuhashi},
journal= {arXiv preprint arXiv:math/0506156},
year = {2007}
}
Comments
14 pages with no figure