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
No coin nor oath required. For personal study only.
📜 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
Novikov algebras were introduced in connection with the Poisson brackets of hydrodynamic type and Hamiltonian operators in the formal variational calculus. The commutator of a Novikov algebra is a Lie algebra in which there exists a special affine structure (connection with zero curvature and torsio
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