✦ LIBER ✦

Second Cohomology of Generalized Cartan TypeHLie Algebras in Characteristic 0

✍ Scribed by Yuting Jia

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 173 KB
Volume: 204
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7347

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✦ Synopsis

In this paper, the second cohomology of the generalized Cartan type H Lie Ž . algebras L A, ␦, in characteristic 0 is determined.

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✍ Xiaoping Xu 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 239 KB

We construct four new series of generalized simple Lie algebras of Cartan type, using the mixtures of grading operators and down-grading operators. Our results in this paper are further generalizations of those in Osborn's work (J. Algebra 185 (1996), 820-835).