The Category $\mathcal{O}$ for Lie algebras of vector fields (I): Tilting modules and character formulas
Representation Theory
2019-07-30 v1
Abstract
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 dimensional Lie algebras of vector fields and , and obtain the description of indecomposable tilting modules. The character formulas for those tilting modules are determined.
Keywords
Cite
@article{arxiv.1907.12007,
title = {The Category $\mathcal{O}$ for Lie algebras of vector fields (I): Tilting modules and character formulas},
author = {Fei-Fei Duan and Bin Shu and Yu-Feng Yao},
journal= {arXiv preprint arXiv:1907.12007},
year = {2019}
}
Comments
19 pages