29 citations · 76 across the 37 of their papers we have counts for
19 papers · 1 filter
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 i-quantum group U^i(n)
Jie Du, Yadi Wu
This paper reveals some new structural property for the -quantum group U^i(n) and constructs a certain hyperalgebra from the new structure which has connections to finite symple…
A new realization of the i-quantum group U^j(n)
Jie Du, Yadi Wu
We follow the approach developed by Beilinson-Lusztig-MacPherson and modified by Fu and the first author to investigate a new realization for the i-quantum groups U^j(n) of type B,…
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…
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…
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…