Structure theory of central simple Z_d-graded algebras

Authors

CEMAL KOÇ
YOSUM KURTULMAZ

DOI

10.3906/mat-1011-535

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

First Page

560

Last Page

577

Recommended Citation

KOÇ, CEMAL and KURTULMAZ, YOSUM (2012) "Structure theory of central simple Z_d-graded algebras," Turkish Journal of Mathematics: Vol. 36: No. 4, Article 7. https://doi.org/10.3906/mat-1011-535
Available at: https://journals.tubitak.gov.tr/math/vol36/iss4/7