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Quasiclassical Lie Algebras

✍ Scribed by A.A Baranov; A.E Zalesskii

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 231 KB
Volume: 243
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8859

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✦ Synopsis

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.

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