209 citations · 1.5k across the 128 of their papers we have counts for
5 papers · 2 filters
Frobenius map for the centers of Hecke algebras
Jinkui Wan, Weiqiang Wang
We introduce a commutative associative graded algebra structure on the direct sum Z of the centers of the Hecke algebras associated to the symmetric groups in n letters for all n.…
Coinvariant algebras and fake degrees for spin Weyl groups of classical type
Constance Baltera, Weiqiang Wang
The coinvariant algebra of a Weyl group plays a fundamental role in several areas of mathematics. The fake degrees are the graded multiplicities of the irreducible modules of a Wey…
Canonical basis for quantum osp(1|2)
Sean Clark, Weiqiang Wang
We introduce a modified quantum enveloping algebra as well as a (modified) covering quantum algebra for the ortho-symplectic Lie superalgebra osp(1|2). Then we formulate and comput…
Brundan-Kazhdan-Lusztig conjecture for general linear Lie superalgebras
Shun-Jen Cheng, Ngau Lam, Weiqiang Wang
In the framework of canonical and dual canonical bases of Fock spaces, Brundan in 2003 formulated a Kazhdan-Lusztig type conjecture for the characters of the irreducible and tiltin…
Frobenius character formula and spin generic degrees for Hecke-Clifford algebra
Jinkui Wan, Weiqiang Wang
The spin analogues of several classical concepts and results for Hecke algebras are established. A Frobenius type formula is obtained for irreducible characters of the Hecke-Cliffo…