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math.QA2020★ 1 cited
Quantum queer supergroups via v-differential operators
Jie Du, Yanan Lin, Zhongguo Zhou
By using certain quantum differential operators, we construct a super representation for the quantum queer supergroup U_v(q_n). The underlying space of this representation is a def…
math.QA2019
The regular representation of
Jie Du, Zhongguo Zhou
Using quantum differential operators, we construct a super representation of on a certain polynomial superalgebra. We then extend the representation to i…
math.QA2018
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…