2011/10/08 by Deke Zhao, Zhao, Deke
Mathematics · #15A75 #19A99 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Primary 15A66 #Representation Theory (math.RT) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #Secondary 16G99 #math.RA #math.RT #msc:15A66 #msc:15A75 #msc:16G99 #msc:19A99
paper · pdf · doi:10.48550/arxiv.1110.1737
To appear in Advances in Applied Clifford Algebras
openalex publication_date 2011/10/08 · arxiv created 2012/04/19 · arxiv updated 2012/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This note uses a variation of graded Morita theory for finite dimensional superalgebras to determine explicitly the graded basic superalgebras for all real and complex Clifford superalgebras. As an application, the Grothendieck groups of the category of left ℤ2-graded modules over all real and complex Clifford superalgebras are described explicitly.