3 papers
math.RT2026
Simple character formulas for finite -superalgebras of type
Shun-Jen Cheng, Weiqiang Wang
We establish a canonical basis character formula for the irreducible modules in arbitrary parabolic BGG-type categories, including the category of finite-dimensional modules, for f…
math.QA2025
Categorification of quasi-split iquantum groups
Jonathan Brundan, Weiqiang Wang, Ben Webster
We introduce a new family of graded 2-categories generalizing the 2-quantum groups introduced by Khovanov, Lauda and Rouquier. We use them to categorify quasi-split iquantum groups…
math.RT2024
Super duality for Whittaker modules and finite -algebras
Shun-Jen Cheng, Weiqiang Wang
We establish a super duality as an equivalence between Whittaker module categories over a pair of classical Lie algebra and Lie superalgebra in the infinite-rank limit. Building on…