209 citations · 1.5k across the 128 of their papers we have counts for
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The centers of spin symmetric group algebras and Catalan numbers
Jill Tysse, Weiqiang Wang
Generalizing the work of Farahat-Higman on symmetric groups, we describe the structures of the even centers Z_n of integral spin symmetric group superalgebras, which lead to univer…
Hecke-Clifford algebras and spin Hecke algebras II: the rational double affine type
Ta Khongsap, Weiqiang Wang
The notion of rational spin double affine Hecke algebras (sDaHa) and rational double affine Hecke-Clifford algebras (DaHCa) associated to classical Weyl groups are introduced. The…
The Bloch-Okounkov correlation functions of negative levels
Shun-Jen Cheng, David G. Taylor, Weiqiang Wang
Bloch and Okounkov introduced an -point correlation function on the fermionic Fock space and found a closed formula in terms of theta functions. This function affords several di…
Modular representations of the ortho-symplectic supergroups
Bin Shu, Weiqiang Wang
A Chevalley type integral basis for the ortho-symplectic Lie superalgebra is constructed. The simple modules of the ortho-symplectic supergroup over an algebraically closed field o…
Brundan-Kazhdan-Lusztig and super duality conjectures
Shun-Jen Cheng, Weiqiang Wang
We formulate a general super duality conjecture on connections between parabolic categories O of modules over Lie superalgebras and Lie algebras of type A, based on a Fock space fo…
Hecke-Clifford algebras and spin Hecke algebras I: the classical affine type
Ta Khongsap, Weiqiang Wang
Associated to the classical Weyl groups, we introduce the notion of degenerate spin affine Hecke algebras and affine Hecke-Clifford algebras. For these algebras, we establish the P…