1 citations · 3 across the 8 of their papers we have counts for
8 papers
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…
Polynomial super representations of the hyperalgebra of at roots of unity
Jie Du, Yanan Lin, Zhongguo Zhou
As a homomorphic image of the hyperalgebra associated with the quantum linear supergroup , we first give a presentation for the -…
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…
Rigidity of formal characters of Lie algebras (II)
Zhongguo Zhou
For a complex simple Lie algebra of type A_l,B_l,C_l or D_l, given a family of elements f_λ in commutative ring Z[Λ], we show that f_λ is just the formal character of the Weyl modu…
Rigidity of formal character of Lie algebras of type A
Zhongguo Zhou
For a complex simple Lie algebra of type , given a family of elements we show that is just the formal character of the Weyl module …
Irreducible Characters for Algebraic Groups in Characteristic Three
Zhongguo Zhou, Xiangqin Meng
In this note, we determine the irreducible characters for the simple algebraic groups of type over an algebraically closed field of characteristic 3, by using a theorem o…
A New Multiplicity Formula for the Weyl Modules of Type A
Jiachen Ye, Zhongguo Zhou
A monomial basis and a filtration of subalgebras for the universal enveloping algebra of a complex simple Lie algebra of type is given in this note. In particu…