Filiform Z2xZ2-color Lie superalgebras
classification
🧮 math.RT
keywords
cocyclessuperalgebrasz2xz2-colorfiliformgivebasiscasesconcrete
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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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