3 citations · 4 across the 6 of their papers we have counts for
4 papers · 2 filters
On non-weight representations of the superconformal algebras
Hengyun Yang, Yufeng Yao, Limeng Xia
In this paper, we construct a family of non-weight modules over the untwisted superconformal algebras. Those modules when regarded as modules over the Cartan subalgebra (modu…
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…
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…
A family of non-weight modules over the super-Virasoro algebras
Hengyun Yang, Yufeng Yao, Limeng Xia
In this paper, we construct a family of non-weight modules over the super-Virasoro algebras. Those modules when regarded as modules of the Ramond algebra and further restricted as…