collaborators

10 papers

math.QA2026

Relative braid group symmetries on quantum supersymmetric pairs of type sAIII

Yaolong Shen, Weinan Zhang

We introduce the relative Coxeter groupoid and construct intrinsic relative braid group symmetries for quantum supersymmetric pairs of type sAIII. These symmetries are constructed…

math.QA2026

Relative braid group symmetries on modified iquantum groups and their modules

Weiqiang Wang, Weinan Zhang

We present a comprehensive generalization of Lusztig's braid group symmetries for quasi-split iquantum groups. Specifically, we give 3 explicit rank one formulas for symmetries act…

math.RT2026

Representations of quantum symmetric pairs at roots of unity

Jinfeng Song, Weinan Zhang

Let be an involution of a complex semisimple Lie algebra and be the associated quantum symmetric pair at an odd root of uni…

math.QA2026

Quantum Howe duality and Schur duality of type AIII

Weinan Zhang

We establish a new connection between the iHowe duality of type AIII established by Luo-Xu and the iSchur duality established by Bao-Wang. We show that iweight space…

math.QA2025

A Drinfeld type presentation of twisted Yangians of quasi-split type

Kang Lu, Weinan Zhang

We formulate a family of algebras, twisted Yangians (of simply-laced quasi-split type) in Drinfeld type current generators and defining relations. These new algebras admit PBW type…

math.RT2025

Braid group action and quasi-split affine quantum groups I

Ming Lu, Weiqiang Wang, Weinan Zhang

This is the first of two papers on quasi-split affine quantum symmetric pairs , focusing on t…