Generalized semidirect sums of Lie superalgebras and their modules: The osp(1,2) case

Rui Lu, Youjun Tan

Abstract


We introduce the notion of generalized semidirect sums of Lie superalgebras and their modules, which is applicable to construction of Lie superalgebras. Then we classify  up to isomorphisms of Lie superalgebras all generalized semidirect sums of osp(1,2) and its finite-dimensional irreducible modules.

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