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.
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Univ Tartu, Fac Sci & Technol, Inst Math & Stat, J Liivi 2, EE-50409 Tartu, EstoniaUniv Tartu, Fac Sci & Technol, Inst Math & Stat, J Liivi 2, EE-50409 Tartu, Estonia
Laan, Valdis
Reimaat, Ulo
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Univ Tartu, Fac Sci & Technol, Inst Math & Stat, J Liivi 2, EE-50409 Tartu, EstoniaUniv Tartu, Fac Sci & Technol, Inst Math & Stat, J Liivi 2, EE-50409 Tartu, Estonia
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Sejong Univ, Dept Phys, Seoul 143747, South KoreaSejong Univ, Dept Phys, Seoul 143747, South Korea
Chang-Young, Ee
Kim, Hoil
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Kyungpook Natl Univ, Dept Math, Taegu 702701, South KoreaSejong Univ, Dept Phys, Seoul 143747, South Korea
Kim, Hoil
Nakajima, Hiroaki
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Sungkyunkwan Univ, Dept Phys, Suwon 440746, South Korea
Sungkyunkwan Univ, Inst Basic Sci, Suwon 440746, South KoreaSejong Univ, Dept Phys, Seoul 143747, South Korea