9 citations · 14 across the 8 of their papers we have counts for
9 papers
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…
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…
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…
Multiplication formulas and semisimplicity for q-Schur superalgebras
Jie Du, Haixia Gu, Zhongguo Zhou
We investigate products of certain double cosets for the symmetric group and use the findings to derive some multiplication formulas for q-Schur superalgebras. This gives a combina…
Canonical bases for the quantum linear supergroups
Jie Du, Haixia Gu
We give a combinatorial construction for the canonical bases of the -parts of the quantum enveloping superalgebra $\bfU(\mathfrak{gl}_{m|n})$ and discuss their relationship wi…
A realisation of the quantum linear superalgebra
Jie Du, Haixia Gu
We reconstruct the quantum enveloping superalgebra over via (finite dimensional) quantum Schur superalgebras. In particular, we obtain…
Irreducible representations of q-Schur superalgebras at a root of unity
Jie Du, Haixia Gu, Jianpan Wang
Under the assumption that the quantum parameter is an -th primitive root of unity with odd in a field of characteristic 0 and , we obtained a complete cla…
Loewy filtration and quantum de Rham cohomology over quantum divided power algebra
Haixia Gu, Naihong Hu
The paper explores the indecomposable submodule structures of quantum divided power algebra defined in \cite{HU} and its truncated objects $\mathcal{A}_q(n, \bol…