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Lie Algebras of CL Type

✍ Scribed by Guang-Yu Shen

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 134 KB
Volume: 249
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.9059

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✦ Synopsis

The notion of a strongly nilpotent element of a Lie algebra is introduced. According to the existence or nonexistence of nontrivial strongly nilpotent elements, the simple modular Lie algebras are divided into two categories, CA type and CL type, which coincide with Lie algebras of generalized Cartan type and classical type, respectively, when the characteristic is greater than 7. Examples of nonclassical simple Lie algebras of CL type are given which all have affinities to the classical Lie algebras.  2002 Elsevier Science (USA)

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