English

Superspecies and their representations

Rings and Algebras 2007-10-12 v1 Representation Theory

Abstract

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.

Keywords

Cite

@article{arxiv.0710.2147,
  title  = {Superspecies and their representations},
  author = {Yang Han and Deke Zhao},
  journal= {arXiv preprint arXiv:0710.2147},
  year   = {2007}
}

Comments

36 pages

R2 v1 2026-06-21T09:30:10.613Z