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 2014Show all

3 papers · 1 filter

math.RA2014★ 30 cited

Non-abelian tensor product and homology of Lie Superalgebras

Xabier García-Martínez, Emzar Khmaladze, Manuel Ladra

We introduce the non-abelian tensor product of Lie superalgebras, study some of its properties including nilpotency, solvability and Engel, and we use it to describe the universal…

math.RT2014★ 3 cited

Universal central extensions of $sl (m, n, A)$ of small rank over associative superalgebras

Xabier García-Martínez, Manuel Ladra

We complete the solution of the problem of finding the universal central extension of the matrix superalgebras $sl (m, n, A)$ where $A$ is an associative superalgebra and…

math.RA2014★ 1 cited

Universal central extensions of Lie-Rinehart algebras

José Luis Castiglioni, Xabier García-Martínez, Manuel Ladra

In this paper we study the universal central extension of a Lie--Rinehart algebra and we give a description of it. Then we study the lifting of automorphisms and derivations to cen…

Non-abelian tensor product and homology of Lie Superalgebras

Universal central extensions of sl(m,n,A) of small rank over associative superalgebras

Universal central extensions of Lie-Rinehart algebras

Universal central extensions of $sl (m, n, A)$ of small rank over associative superalgebras