Geometric Approach to Mirabolic Schur-Weyl Duality of Type A
Representation Theory
2024-04-09 v1
Abstract
We commence by constructing the mirabolic quantum Schur algebra, utilizing the convolution algebra defined on the variety of triples of two -step partial flags and a vector. Subsequently, we employ a stabilization procedure to derive the mirabolic quantum . Then we present the geometric approach of the mirabolic Schur-Weyl duality of type .
Keywords
Cite
@article{arxiv.2404.05594,
title = {Geometric Approach to Mirabolic Schur-Weyl Duality of Type A},
author = {Zhaobing Fan and Zhicheng Zhang and Haitao Ma},
journal= {arXiv preprint arXiv:2404.05594},
year = {2024}
}