209 citations · 1.5k across the 128 of their papers we have counts for
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Nilpotent orbits and finite W-algebras
Weiqiang Wang
In recent years, the finite W-algebras associated to a semisimple Lie algebra and its nilpotent element have been studied intensively from different viewpoints. In this lecture ser…
Super duality and irreducible characters of ortho-symplectic Lie superalgebras
Shun-Jen Cheng, Ngau Lam, Weiqiang Wang
We formulate and establish a super duality which connects parabolic categories between the ortho-symplectic Lie superalgebras and classical Lie algebras of types. This pr…
Representations of Lie superalgebras in prime characteristic III
Lei Zhao
For a restricted Lie superalgebra g over an algebraically closed field of characteristic p > 2, we generalize the deformation method of Premet and Skryabin to obtain results on the…
Two-parameter quantum vertex representations via finite groups and the McKay correspondence
Naihuan Jing, Honglian Zhang
We introduce two-parameter quantum toroidal algebras of simply laced types and provide their group theoretic realization using finite subgroups of via McKay corre…
Representations of Lie superalgebras in prime characteristic II: The queer series
Weiqiang Wang, Lei Zhao
The modular representation theory of the queer Lie superalgebra q(n) over characteristic p>2 is developed. We obtain a criterion for the irreducibility of baby Verma modules with s…
Kostant homology formulas for oscillator modules of Lie superalgebras
Shun-Jen Cheng, Jae-Hoon Kwon, Weiqiang Wang
We provide a systematic approach to obtain formulas for characters and Kostant -homology groups of the oscillator modules of the finite dimensional general linear an…
Graded Specht modules
Jonathan Brundan, Alexander Kleshchev, Weiqiang Wang
Recently, the first two authors have defined a Z-grading on group algebras of symmetric groups and more generally on the cyclotomic Hecke algebras of type G(l,1,d). In this paper w…