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VOL. 19 | 2018 Clifford Algebras and Their Applications to Lie Groups and Spinors

Abstract

We discuss some well-known facts about Clifford algebras: matrix representations, Cartan’s periodicity of 8, double coverings of orthogonal groups by spin groups, Dirac equation in different formalisms, spinors in $n$ dimensions, etc. We also present our point of view on some problems. Namely, we discuss the generalization of the Pauli theorem, the basic ideas of the method of averaging in Clifford algebras, the notion of quaternion type of Clifford algebra elements, the classification of Lie subalgebras of specific type in Clifford algebra, etc.

Information

Published: 1 January 2018
First available in Project Euclid: 23 December 2017

MathSciNet: MR3586156

Digital Object Identifier: 10.7546/giq-19-2018-11-53

Rights: Copyright © 2018 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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