3 papers
math.RT2024
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…
math.RT2019
Parabolic BGG categories and their block decomposition for Lie superalgebras of Cartan type
Fei-Fei Duan, Bin Shu, Yu-Feng Yao
In this paper, we study the parabolic BGG categories for graded Lie superalgebras of Cartan type over complex numbers. The gradation of such a Lie superalgebra naturally ari…
math.RT2019
The Category for Lie algebras of vector fields (I): Tilting modules and character formulas
Fei-Fei Duan, Bin Shu, Yu-Feng Yao
In this article, we exploit the theory of graded module category with semi-infinite character developed by Soergel in \cite{Soe} to study representations of the infinite dimensiona…