2007/10/11 by Yang Han, Han, Yang, Deke Zhao +1
Computer Science · Mathematics · #16G20 #16G60 #16W50 #16W55 #Algebraic structures and combinatorial models #Cellular Automata and Applications #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #Topological and Geometric Data Analysis #math.RA #math.RT #msc:16G20 #msc:16G60 #msc:16W50 #msc:16W55
paper · pdf · doi:10.48550/arxiv.0710.2147
36 pages
arxiv created 2007/10/11 · openalex publication_date 2007/10/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.