向量场李代数的范畴数学O (I):倾斜模和特征公式

IF 1.1 2区数学 Q1 MATHEMATICS

Publications of the Research Institute for Mathematical Sciences Pub Date : 2019-07-28 DOI:10.4171/prims/56-4-3

Feifei Duan, B. Shu, Yufeng Yao

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引用次数: 1

摘要

本文利用Soergel在\cite{Soe}中提出的具有半无穷特征的梯度模范畴理论，研究了向量场$W(n), S(n)$和$H(n)$$(n\geq 2)$的无限维李代数的表示，得到了不可分解的可倾模的描述。确定了这些倾斜模块的字符表达式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Category $\mathcal O$ for Lie Algebras of Vector Fields (I): Tilting Modules and Character Formulas

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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来源期刊

Publications of the Research Institute for Mathematical Sciences 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The aim of the Publications of the Research Institute for Mathematical Sciences (PRIMS) is to publish original research papers in the mathematical sciences.