Journals / Turkish Journal of Mathematics / 2012 / Cilt: 36 - Sayı: 4

Structure theory of central simple Zd-graded algebras

Pages
560–577
DOI
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Abstract

This paper investigates the structure theory of Zd-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 Zd-central simple graded algebras.

Özet

This paper investigates the structure theory of Zd-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 Zd-central simple graded algebras.

Keywords: Central simple graded algebra, primitive dth root of unity, w-Clifford algebra