Superspecies and their representations
classification
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math.RT
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gradedsuperspeciesfinite-dimensionalintroducedrepresentationsuperalgebrasaccordingacyclic
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Superspecies are introduced to provide the nice constructions of all finite-dimensional superalgebras. All acyclic superspecies, or equivalently all finite-dimensional (gr-basic) gr-hereditary superalgebras, are classified according to their graded representation types. To this end, graded equivalence, graded representation type and graded species are introduced for finite group graded algebras.
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