Derivations and Invariant Forms of Lie Algebras Graded by Finite Root Systems
Derivations and Invariant Forms of Lie Algebras Graded by Finite Root Systems
复制标题
有限根系分级的李代数的导数和不变形式
DOI：
10.4153/cjm-1998-012-3
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
G. Benkart
中科院分区：
文献类型：
--
作者：
G. Benkart
摘要以有限约化根系分次的李代数一直被分类到同构。在本文中，我们描述了这些李代数的导子代数，并确定当它们具有不变双线性型。结果，我们开发这样做是更普遍的，并适用于李代数是完全约相对于伴随行动的有限维子代数。
Abstract Lie algebras graded by finite reduced root systems have been classified up to isomorphism. In this paper we describe the derivation algebras of these Lie algebras and determine when they possess invariant bilinear forms. The results which we develop to do this are much more general and apply to Lie algebras that are completely reducible with respect to the adjoint action of a finite-dimensional subalgebra.