Finite-dimensional Lie superalgebras of Cartan type over fields of prime characteristic
β Scribed by Yongzheng Zhang
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 240 KB
- Volume
- 42
- Category
- Article
- ISSN
- 1001-6538
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π SIMILAR VOLUMES
Denote A s ArI and let A s A [ ΠΈΠΈΠΈ [ A be a decomposition into a direct sum of differentially simple algebras.
Let K be an algebraically closed field of positive characteristic and let G be a reductive group over K with Lie algebra . This paper will show that under certain mild assumptions on G, the commuting variety is an irreducible algebraic variety.  2002 Elsevier Science (USA)
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).