Cyclotomic $q$-Schur superalgebras
Representation Theory
2022-05-24 v2 Rings and Algebras
Abstract
The paper aims to introduce the cyclotomic -Schur superalgebra via the permutation supermodules of the cyclotomic Hekce algebra and investigate its structure. In particular, we show that the cyclotomic -Schur superalgebra is a cellular superalgebra and establish the Schur-Weyl duality between the cyclotomic Hecke algebra and the cyclotomic -Schur superalgebra.
Cite
@article{arxiv.1912.00639,
title = {Cyclotomic $q$-Schur superalgebras},
author = {Deke Zhao},
journal= {arXiv preprint arXiv:1912.00639},
year = {2022}
}
Comments
18 pages. The final version is accepted for publication in Journal of Algebra and its Applications