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.

DOI

10.3906/mat-1011-535

Keywords

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

First Page

560

Last Page

577

Recommended Citation

KOÇ, C, & KURTULMAZ, Y (2012). Structure theory of central simple Z_d-graded algebras. Turkish Journal of Mathematics 36 (4): 560-577. https://doi.org/10.3906/mat-1011-535

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