3 papers
math.RT2024
Modular representation of Reductive Lie algebras and related combinatorial category
An Zhang
We introduce and study a ``combinatorial" category related to the representations of reduced enveloping algebras of reductive Lie algebras in ``standard Levi form". It is compatibl…
math.RT2023
Duplex Hecke Algebras of type B
Yu Xie, An Zhang, Bin Shu
As a sequel to [14], in this article we first introduce a so-called duplex Hecke algebras of type B which is a Q(q)-algebra associated with the Weyl group W (B) of type B, and symm…
math.QA2003
Quasi-finite representations,free field realizations,and character formulae of Lie superalgebras of infinite rank
N. Lam, R. B. Zhang
We classify the quasi-finite irreducible highest weight modules over the infinite rank Lie superalgebras $\hgltwo$, $\hC$ and $\hD$, and determine the necessary and sufficient cond…