Branching laws for tensor modules over classical locally finite Lie algebras

详细信息    查看全文

• 作者：Elitza Hristova
• 关键词：Locally finite Lie algebras ; Tensor modules ; Branching laws ; Socle filtration
• 刊名：Journal of Algebra
• 出版年：1 January, 2014
• 年：2014
• 卷：397
• 期：Complete
• 页码：278-314
• 全文大小：513 K

文摘

Let and be isomorphic to any two of the Lie algebras , and . Let M be a simple tensor -module. We introduce the notion of an embedding of general tensor type and derive branching laws for triples , where is an embedding of general tensor type. More precisely, since M is in general not semisimple as a -module, we determine the socle filtration of M over . Due to the description of embeddings of classical locally finite Lie algebras given by Dimitrov and Penkov in 2009, our results hold for all possible embeddings unless .