Quasiclassical Lie algebras

JOURNAL OF ALGEBRA

卷:243

Article

Baranov, AA ; Zalesskii, AE

关键词: non-semisimple Lie algebras;    representations;    enveloping algebras;   

DOI  :  10.1006/jabr.2001.8859

来源: Elsevier

【 摘 要 】

In this paper we study finite dimensional non-semisimple Lie algebras that can be obtained as Lie algebras of skew-symmetric elements of associative algebras with involution. We call such algebras quasiclassical and characterize them in terms of existence of so-called *-plain representations.We show that the theory of *-plain representations for quasiclassical Lie algebras is almost equivalent to representation theory of associative algebras with involution. (C) 2001 Academic Press.

【 授权许可】

Free