Simple finite-dimensional noncommutative Jordan superalgebras
Lie and Jordan algebras, their representations and generalizations
Structure and representations of alternative and Jordan superalgebras
| Full text | |
| Author(s): |
Popov, Yury
Total Authors: 1
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| Document type: | Journal article |
| Source: | Journal of Algebra; v. 544, p. 329-390, FEB 15 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
In this article we begin the study of representations of simple finite-dimensional noncommutative Jordan superalgebras. In the case of degree >= 3 we show that any finite-dimensional representation is completely reducible and, depending on the superalgebra, quasiassociative or Jordan. Then we study representations of superalgebras D-t (alpha, beta, gamma) and K-3 (alpha, beta, gamma) and prove the Kronecker factorization theorem for superalgebras D-t (alpha, beta, gamma). In the last section we use a new approach to study noncommutative Jordan representations of simple Jordan superalgebras. (C) 2019 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 16/16445-0 - Representations of (super)algebras of Jordan type |
| Grantee: | Yury Popov |
| Support Opportunities: | Scholarships in Brazil - Doctorate |