Classification of Novikov algebras
✍ Scribed by Burde, Dietrich; de Graaf, Willem
- Book ID
- 120271306
- Publisher
- Springer
- Year
- 2012
- Tongue
- English
- Weight
- 202 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0938-1279
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📜 SIMILAR VOLUMES
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 in
In this paper, we first present a classification theorem of simple infinitedimensional Novikov algebras over an algebraically closed field of characteristic 0. Then we classify all the irreducible modules of certain infinite-dimensional simple Novikov algebras with an idempotent element whose left a