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Novikov algebras and Novikov structures on Lie algebras

✍ Scribed by Dietrich Burde; Karel Dekimpe; Kim Vercammen


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
127 KB
Volume
429
Category
Article
ISSN
0024-3795

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📜 SIMILAR VOLUMES


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✍ Xiaoping Xu 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 316 KB

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

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✍ Xiaoping Xu 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 277 KB

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