Mirabolic Howe duality

2024/12/05 by Fan, Zhaobing, Ma, Haitao, Zhang, Zhicheng
#FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2412.04136

Abstract

We establish a duality between a pair of mirabolic quantum groups, i.e., the mirabolic counterpart of quantum Howe duality.

Related

• Geometric Approach to Mirabolic Schur-Weyl Duality of Type A
• Three approaches to the Howe duality between quantum general linear supergroups
• Representation theory of mirabolic quantum \mathfraksl_n
• Geometric Howe dualities of finite type
• Mirabolic quantum \mathfraksl₂