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 ''NovikovαPoisson algebras'' and their tensor theory. Our tensor theory enables us to understand better c
β¦ LIBER β¦
Classification of Simple Novikov Algebras and Their Irreducible Modules of Characteristic 0
β Scribed by Xiaoping Xu
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 218 KB
- Volume
- 246
- Category
- Article
- ISSN
- 0021-8693
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β¦ Synopsis
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 action is locally finite.
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