Combinatorics of Harish-Chandra modules
Combinatorics of Harish-Chandra modules
复制标题
Harish-Chandra 模块的组合学
DOI：
10.1007/978-94-015-9131-7_10
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
W. Soergel
中科院分区：
文献类型：
--
作者：
W. Soergel
这些讲座调查最近的工作，某些无限维表示的复杂半单李代数的组合。他们的重点不是理解不可约的对象，而是理解合适的表示范畴的结构。他们eoneentrate的关系，这些代表eategories与eategories的模的余不变代数相关的行动的Weyl群的Cartan子代数。我们还讨论了真实的李群的表示理论的代数推广。
These lectures survey recent work on the combinatories of eertain infinite dimensional representations of eomplex semisimple Lie algebras. Their foeus is not on understanding the irreducible objeets but rather on understanding the strueture of suitable representation eategories. They eoneentrate on the relation of these representation eategories with eategories of modules over the coinvariant algebra associated to the action of the Weyl group on a Cartan subalgebra. We also discuss conjectural generalizations to the representation theory of real Lie groups.