An action of the Hecke monoid on rational modules for the Borel subgroup of a quantised general linear group

作者：Santana Ana Paula^*; Yudin Ivan

来源：Journal of Algebra, 2017, 475: 251-286.

DOI：10.1016/j.jalgebra.2016.07.004

• Quantum groups
• Categorification
• Hecke monoid

We construct an action of the Hecke monoid on the category of rational modules for the quantum negative Borel subgroup of the quantum general linear group. We also show that this action restricts to the category of polynomial modules for this quantum subgroup and induces an action on the category of modules for the quantised Borel Schur algebra S-alpha,beta(-)(n,r).

• 出版日期2017-4-1