Geometric approach to mirabolic Schur‐Weyl duality of type A
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 .
Authors
- Haitao Ma (ORCID: https://orcid.org/0000-0001-5324-4242)
- Zhicheng Zhang (ORCID: https://orcid.org/0000-0003-3040-4893)
- Zhaobing Fan (ORCID: https://orcid.org/0000-0002-7003-6346)
Institutions
- Harbin Engineering University (CN)
Publication Details
- Journal
- Journal of the London Mathematical Society
- Published
- 2025-11-01
- DOI
- https://doi.org/10.1112/jlms.70343
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00