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

Vol. 7 No. 4: (October 2014)

Section

Algebra

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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