Superspecies and their representations

Details Superspecies and their representations Superspecies and their representations

2007-10-11

arxiv.org/abs/0710.2147v1

Mathematics

Rings and Algebras

36 pages

Scientific paper

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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