Xabier García‐Martínez

activity

20142026

most citedNon-abelian tensor product and homology of Lie Superalgebras

30 citations · 84 across the 15 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.CT2017★ 19 cited

A characterisation of Lie algebras via algebraic exponentiation

Xabier García-Martínez, Tim Van der Linden

In this article we describe varieties of Lie algebras via algebraic exponentiation, a concept introduced by Gray in his Ph.D. thesis. For $K$ an infinite field of characte…

math.RA2017★ 20 cited

A characterisation of Lie algebras amongst anti-commutative algebras

Xabier García-Martínez, Tim Van der Linden

Let $K$ be an infinite field. We prove that if a variety of anti-commutative $K$ -algebras - not necessarily associative, where $xx = 0$ is an identity - is locally…

math.RA2017★ 7 cited

A note on split extensions of bialgebras

Xabier García-Martínez, Tim Van der Linden

We prove a universal characterization of Hopf algebras among cocommutative bialgebras over a field: a cocommutative bialgebra is a Hopf algebra precisely when every split extension…