Toral Rank One Simple Lie Algebras of Low Characteristics
โ Scribed by Serge Skryabin
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 575 KB
- Volume
- 200
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
It is proved that every finite dimensional simple Lie algebra of absolute toral rank 2 over an algebraically closed field of characteristic p ) 3 is of classical or Cartan type or a Melikian algebra.
We construct here several classes of simple Lie algebras of characteristic ลฝ . 0 which include the Virasoro algebra without central charge and the graded Lie algebras of Cartan type. Our construction is motivated by our w x recent construction of simple locally Novikov algebras in 5 . Our simple Li
Let L be a finite dimensional simple Lie algebra of absolute toral rank 2 over an algebraically closed field of characteristic p ) 3 and T a 2-dimensional torus in the semisimple p-envelope of L. Suppose that L is not isomorphic to a Melikian ลฝ . algebra. It is proved in this paper that, for every r