Filiform Z2xZ2-color Lie superalgebras

2013/06/19 by R.M. Navarro, Navarro, R. M.
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1306.4490

openalex publication_date 2013/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We continue the study of the filiform Z2xZ2-color Lie superalgebras. All of them can be obtained by using infinitesimal deformations, i.e. cocycles. In this work we give the total dimension of such cocycles (for any dimensions n, m, p and t of the Z2xZ2-color Lie superalgebras). Also, we give a basis of such cocycles in some generic and concrete cases.

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