Remarks on the Second Homology Groups of Queer Lie Superalgebras

Abstract

The aim of this note is to completely determine the second homology group of the special queer Lie superalgebra sq n (R) coordinatized by a unital associative superalgebra R, which will be achieved via an isomorphism between the special linear Lie superalgebra sln(R ⊗ Q1) and the special queer Lie superalgebra sq n (R).