vix.ing · top · new · best · stats · spec

Bases for partially commutative Lie algebras

2010/12/06 by Evgeny Poroshenko, Poroshenko, Evgeny
Computer Science · Mathematics · #Polynomial and algebraic computation #Advanced Topics in Algebra #Commutative Algebra and Its Applications

paper · pdf · doi:10.48550/arxiv.1012.1089

Abstract

In this paper, linear bases for the partially commutative Lie algebras are found. The method of the Gröbner--Shirshov bases is used. It easily follows from the structure that the equality problem is algorithmically solvable for the partially commutative Lie algebras.

Related