2 citations · 4 across the 7 of their papers we have counts for
8 papers
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…
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…
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…
Braid Group Action and Quantum Queer Superalgebra
Jianmin Chen, Zhenhua Li, Hongying Zhu
In this paper, we present explicit actions of braid group on the universal enveloping superalgebra and the quantum queer superalgebra ${\boldsymbo…
Some multiplication formulas in queer -Schur superalgebras
Jie Du, Haixia Gu, Zhenhua Li +1
Building on the work [18], where some standard basis for the queer -Schur superalgebra is defined by a labelling set of matrices and their associated doub…
Approaching quantum queer supergroups using finite dimensional superalgebras (Preliminary version)
Jie Du, Haixia Gu, Zhenhua Li +1
The idea of using a sequence of finite dimensional algebras to approach a quantum linear group (i.e., a quantum ) was first introduced by Beilinson-Lusztig-MacPher…
Nonexistence of supersymmetry breaking counterexamples to the Nelson-Seiberg theorem
Zhenhuan Li, Zheng Sun
Counterexample models to the Nelson-Seiberg theorem have been discovered, and their features have been studied in previous literature. All currently known counterexamples have gene…
The integral Schur-Weyl-Sergeev duality
Haixia Gu, Zhenhua Li, Yanan Lin
Degenerating the quantum queer Schur superalgebra to the case , the queer Schur superalgebra is obtained. In this article, we re…