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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.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…