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 -graded modules over all real and complex Clifford superalgebras are described explicitly.
机构:
Univ Tartu, Inst Math, Fac Math & Comp Sci, J Liivi 2, EE-50409 Tartu, EstoniaUniv Tartu, Inst Math, Fac Math & Comp Sci, J Liivi 2, EE-50409 Tartu, Estonia
Laan, Valdis
Marki, Laszlo
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机构:
Hungarian Acad Sci, Alfred Renyi Inst Math, Pf 127, H-1364 Budapest, HungaryUniv Tartu, Inst Math, Fac Math & Comp Sci, J Liivi 2, EE-50409 Tartu, Estonia