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Filiform Z2xZ2-color Lie superalgebras

Published 19 Jun 2013 in math.RT | (1306.4490v3)

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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