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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


Novikov–Poisson Algebras
✍ 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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✍ Yau, Donald 📂 Article 📅 2011 🏛 IOP Publishing 🌐 English ⚖ 287 KB
Classification of Simple Novikov Algebra
✍ Xiaoping Xu 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 218 KB

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