Cuspidal representations of Lie algebras and modules finitely generated over Carta...
Simple right alternative superalgebras with some conditions on even parts
Structures, representations, and applications of algebraic systems
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Novosibirsk State Univ. Sobolev Inst Math
[2] Novosibirsk State Univ. Sobolev Inst Math
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Journal of Algebra; v. 323, n. 12, p. 3230-3251, JUN 15 2010. |
| Web of Science Citations: | 0 |
| Abstract | |
We describe the simple Lie superalgebras arising from the unital structurable superalgebras of characteristic 0 and construct four series of the unital simple structurable superalgebras of Cartan type. We give a classification of simple structurable superalgebras of Cartan type over an algebraically closed field F of characteristic 0. Together with the Faulkner theorem on the classification of classical such superalgebras, it gives a classification of the simple structurable superalgebras over F. Crown Copyright (C) 2010 Published by Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 08/50142-8 - Alexander Pozhidaev | Sobolev Institute of Mathematics, SBRAS - Russia |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 05/60337-2 - Lie and Jordan algebras, their representations and generalizations |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |