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Lie Algebras Generated by Extremal Elements

✍ Scribed by Arjeh M Cohen; Anja Steinbach; Rosane Ushirobira; David Wales

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 231 KB
Volume: 236
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8508

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✦ Synopsis

We study Lie algebras generated by extremal elements (i.e., elements spanning inner ideals) over a field of characteristic distinct from 2. There is an associative bilinear form on such a Lie algebra; we study its connections with the Killing form. Any Lie algebra generated by a finite number of extremal elements is finite dimensional. The minimal numbers of extremal generators for the Lie algebras of type

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