Structure theory of central simple $\Bbb{Z}_d$-graded algebras

Abstract

This paper investigates the structure theory of $\Bbb{Z}$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 $\Bbb{Z}$d-central simple graded algebras.This paper investigates the structure theory of $\Bbb{Z}$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 $\Bbb{Z}$d-central simple graded algebras.