English

Varieties of dialgebras and conformal algebras

Quantum Algebra 2008-08-04 v3 Rings and Algebras

Abstract

For a given variety Var of algebras we define the variety Var of dialgebras. This construction turns to be closely related with varieties of pseudo-algebras: every Var-dialgebra can be embedded into an appropriate pseudo-algebra of the variety Var. In particular, Leibniz algebras are exactly Lie dialgebras, and every Leibniz algebra can be embedded into current Lie conformal algebra.

Cite

@article{arxiv.math/0611501,
  title  = {Varieties of dialgebras and conformal algebras},
  author = {Pavel Kolesnikov},
  journal= {arXiv preprint arXiv:math/0611501},
  year   = {2008}
}

Comments

v2: 20 pages