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arXiv · 1907.12007

The Category $\mathcal{O}$ for Lie algebras of vector fields (I): Tilting modules and character formulas

Fei-Fei Duan·Bin Shu·Yu-Feng Yao
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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 $W(n), S(n)$ and $H(n)$ $(n\geq 2)$, and obtain the description of indecomposable tilting modules. The character formulas for those tilting modules are determined.

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BibTeXRIS

Fei-Fei Duan, Bin Shu, Yu-Feng Yao. 2019-07-28. The Category $\mathcal{O}$ for Lie algebras of vector fields (I): Tilting modules and character formulas. https://arxiv.org/abs/1907.12007

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