正特征中的简单Harish-Chandra双模
Simple Harish-Chandra bimodules in positive characteristics
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中文总结 AI 辅助
本文在正特征代数闭域上，对标准约化群$G$，分类了简单Harish-Chandra双模并确定了其中心特征。
中文摘要 AI 辅助
设$G$是正特征代数闭域上的标准约化群，令$\mathfrak{g} = \operatorname{Lie}(G)$。Harish-Chandra双模范畴由$G$-等变的$U(\mathfrak{g})$-双模组成，使得伴随$\mathfrak{g}$-作用可积为$G$-作用。本文分类了简单Harish-Chandra双模并确定了它们的中心特征。
英文摘要
Let $G$ be a standard reductive group over an algebraically closed field of positive characteristic and let $\mathfrak{g} = \operatorname{Lie}(G)$. The category of Harish-Chandra bimodules consists of $G$-equivariant $U(\mathfrak{g})$-bimodules such that the adjoint $\mathfrak{g}$-action integrates to a $G$-action. In this paper we classify the simple Harish-Chandra bimodules and determine their central characters.
发表机构
- University of Bath（巴斯大学）
机构由 AI 辅助整理，请以论文原文为准。
