Low Dimensional Homology Groups of the Orthosymplectic Lie Superalgebra $\osp(1,2)$

Authors

  • Guy Roger Biyogmam Southwestern Oklahoma State university

Keywords:

Lie superalgebras, Homology of Lie superalgebras.

Abstract

We realize the Lie superalgebra $\osp(1,2)$ in terms of first order differential operators and endow it with the Lie superbracket of vector fields to determine the basis (co)cycles of low dimensional (co)homology groups of $\osp(1,2)$ with trivial coefficients, using the complex introduced by Tanaka \cite{T}. Our calculations agree with the result obtained by Fuks and Leites.

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Published

2014-11-04

Issue

Section

Algebra

How to Cite

Low Dimensional Homology Groups of the Orthosymplectic Lie Superalgebra $\osp(1,2)$. (2014). European Journal of Pure and Applied Mathematics, 7(4), 395-404. https://www.ejpam.com/index.php/ejpam/article/view/1881