4 papers · 1 filter
Whittaker Category and Finite W-superalgebras for Cartan Type Lie Superalgebras
Priyanshu Chakraborty, Yuhui Shen, Bin Shu
Let be the finite-dimensional simple Lie superalgebra of fundamental type in the Cartan type series of Kac's classification result \cite{Kac77} over an algebraically closed…
Representations of a class of infinite-dimensional primitive Lie superalgebras
Priyanshu Chakraborty, Yuhui shen, Bin Shu
In [Kac77, Section 5.4] and [Kac 98], V. G. Kac tried to raise, and finished a classification of infinite-dimensional primitive Lie superalgebras. The series with…
Lie-Cartan modules and cohomology
Feifei Duan, Bin Shu, Yufeng Yao +1
As a sequel to [Duan-Shu-Yao], we introduce here a category arising from the BGG category defined in [Duan-Shu-Yao] for Lie algebras of polynomial vect…
Defining sequences for fundamental root systems and Coxeter graphs for super Weyl groups
Changjie Chen, Yiyang Li, Bin Shu
The super Weyl group of a basic classical Lie superalgebra was introduced and studied in \cite{PS}, which turns out to play an important role for the study of representations of th…