6 papers
Representations of Hecke-Clifford superalgebras at roots of unity
Minjia Chen, Jinkui Wan
In this article, we give a classification of irreducible completely splittable representations of affine Hecke-Clifford superalgebras when is a primit…
A note on irreducible representations of symmetric groups and Sergeev superalgebras
Minjia Chen, Jinkui Wan, Hongbo Zhao
We provide an explicit construction and a closed dimension formula in terms of hook lengths for the irreducible representations for the symmetric groups and the Se…
Mirabolic Hecke algebras, Schur-Weyl duality and Frobenius character formulas
Jinkui Wan
We first introduce a new presentation for the mirabolic Hecke algebra over an arbitrary commutative ring and derive a new basis. Based on this presentati…
Stability of the centers of group algebras of general affine groups
Jinkui Wan, Lan Zhou
The general affine group consisting of invertible affine transformations of an affine space of codimension one in the vector space over a finite field $\…
On representation theory of cyclotomic Hecke-Clifford algebras
Lei Shi, Jinkui Wan
In this article, we give an explicit construction of the simple modules for both non-degenerate and degenerate cyclotomic Hecke-Clifford superalgebras over an algebraically closed…
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…