Duplex Hecke Algebras and Related Quantum Schur Duality
Representation Theory
2023-01-03 v2
Abstract
This article introduces the duplex Hecke algebra, which is an infinite dimensional algebra generated by two Hecke algebras. This concept originates from the degenerate duplex Hecke algebra in the theory of Schur-Weyl duality related to enhanced reductive algebraic groups. We will study the finite dimensional natural representation of the duplex Hecke algebra on tensor space and prove that the duplex Hecke algebra forms a duality with the Levi type quantum group.
Cite
@article{arxiv.2108.07587,
title = {Duplex Hecke Algebras and Related Quantum Schur Duality},
author = {Chenliang Xue and An Zhang},
journal= {arXiv preprint arXiv:2108.07587},
year = {2023}
}
Comments
16 pages, modify the name of basic notions, accepted by Algebra Colloquium