Quadratic Conformal Superalgebras

On simple Novikov algebras and their irreducible modules

Novikov–Poisson Algebras

An algebra with the identity xe(yez Az ey) = (xey)ez A (xez)ey is called right-symmetric. A right-symmetric algebra with the identity x e (y e z) = y e (x e z) is called Novikov. We describe bases of free right-symmetric algebras and free Novikov algebras and give realizations of them in terms of trees. The free Lie algebra is obtained as a Lie subalgebra of the free right-symmetric algebra. We use our methods to study identities of Witt algebras. To Jan–Erik Roos on his sixty–Þfth birthday

https://www.intlpress.com/site/pub/files/_fulltext/journals/hha/2002/0004/0002/HHA-2002-0004-0002-a008.pdf

Trees, free right-symmetric algebras, free novikov algebras and identities

Novikov algebras were introduced in connection with the Poisson brackets of hydrodynamic-type and Hamiltonian operators in the formal variational calculus. For further our understanding and physical applications, we give a classification of Novikov algebras in dimensions two and three in this paper.

https://iopscience.iop.org/article/10.1088/0305-4470/34/8/305/pdf

Osborn J Marshall

Papers

Simple novikov algebras with an idempotent