Hom–Novikov algebras

@inproceedings{Yau2011HomNovikovA,
  title={Hom–Novikov algebras},
  author={Donald Yau},
  year={2011}
}
We study a twisted generalization of Novikov algebras, called Hom–Novikov algebras, in which the two defining identities are twisted by a linear map. It is shown that Hom–Novikov algebras can be obtained from Novikov algebras by twisting along any algebra endomorphism. All algebra endomorphisms on complex Novikov algebras of dimensions 2 or 3 are computed, and their associated Hom–Novikov algebras are described explicitly. Another class of Hom–Novikov algebras is constructed from Hom… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-10 OF 20 CITATIONS

Super Hom-Gel'fand-Dorfman bialgebras and Hom-Lie conformal superalgebras 1

VIEW 6 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED