Novikov–Poisson Algebras
✍ Scribed by Xiaoping Xu
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 316 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0021-8693
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✦ Synopsis
We classify Novikov᎐Poisson algebras whose Novikov algebras are simple with an idempotent element. Moreover, a class of simple Novikov algebras without idempotent elements is constructed through Novikov᎐Poisson algebras. Certain new simple Lie superalgebras induced by Novikov᎐Poisson algebras are introduced.
📜 SIMILAR VOLUMES
We give a complete classification of finite-dimensional simple Novikov algebras and their irreducible modules over an algebraically closed field with prime characteristic. Moreover, we introduce ''Novikov᎐Poisson algebras'' and their tensor theory. Our tensor theory enables us to understand better c
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