9 citations · 14 across the 8 of their papers we have counts for
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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…
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…