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Classification of Simple Novikov Algebras and Their Irreducible Modules of Characteristic 0

✍ 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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✦ 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.


πŸ“œ SIMILAR VOLUMES


On Simple Novikov Algebras and Their Irr
✍ Xiaoping Xu πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 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