Structure theory of central simple Z_d-graded algebras

Authors: CEMAL KOÇ, YOSUM KURTULMAZ

Abstract: This paper investigates the structure theory of Z_d-central simple graded algebras and gives the complete decomposition into building block algebras. The results are also applied to generalized Clifford algebras, which are motivating examples of Z_d-central simple graded algebras.

Keywords: Central simple graded algebra, primitive d^{th} root of unity, \omega-Clifford algebra

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