3 papers
math.QA2025
Quantum queer superalgebra and its integral form
Jianmin Chen, Zhenhua Li, Hongying Zhu
In this paper, we introduce quantum root vectors for the quantum queer superalgebra via a braid-group action, compute their complete comm…
math.QA2025
The Regular Representation of the twisted queer -Schur Superalgebra
Zhenhua Li
We study the representation theory of the quantum queer superalgebra ${U_{\lcase{v}}(\mathfrak{\lcase{q}}_{n})}$ and obtain some properties of the highest weight modules. Furthermo…
math.QA2024
Constructing the quantum queer supergroup using Hecke-Clifford superalgebras
Jie Du, Haixia Gu, Zhenhua Li +1
In [DGLW], we use certain special elements and their commutation relations in the Hecke-Clifford algebras to derive some fundamental multiplication formulas associated…