Remarks on the second homology groups of queer Lie superalgebras

作者：Wang, Yongjie; Chang, Zhihua^*

来源：Communications in Algebra, 2022, 50(4): 1632-1640.

DOI：10.1080/00927872.2021.1986518

• Central extension
• cyclic homology group
• queer Lie superalgebra
• root-graded Lie superalgebra

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 sl(n)(R circle times Q(1)) and the special queer Lie superalgebra sq(n)(R).