Method of averaging in Clifford algebras

Abstract

In this paper we consider different operators acting on Clifford algebras. We consider Reynolds operator of Salingaros' vee group. This operator average" an action of Salingaros' vee group on Clifford algebra. We consider conjugate action on Clifford algebra. We present a relation between these operators and projection operators onto fixed subspaces of Clifford algebras. Using method of averaging we present solutions of system of commutator equations.

15 pages

Cited by in corpus (3)

• Clifford algebras and their applications to Lie groups and spinors
• Covariantly constant solutions of the Yang-Mills equations
• Calculation of elements of spin groups using method of averaging in Clifford's geometric algebra