Varieties of dialgebras and conformal algebras
量子代数
2008-08-04 v3 环与代数
摘要
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.
引用
@article{arxiv.math/0611501,
title = {Varieties of dialgebras and conformal algebras},
author = {Pavel Kolesnikov},
journal= {arXiv preprint arXiv:math/0611501},
year = {2008}
}
备注
v2: 20 pages