Fundamental Automorphisms of Clifford Algebras and an Extension of Dabrowski Pin Groups

Details Fundamental Automorphisms of Clifford Algebras and an Extension of Dabrowski Pin Groups Fundamental Automorphisms of Clifford Algebras and an Extension of Dabrowski Pin Groups

1999-04-30

arxiv.org/abs/math-ph/9904038v2

Hadronic J. 22 (1999) 497-533

Physics

Mathematical Physics

30 pages, LaTeX2e, corrected version

Scientific paper

Double coverings of the orthogonal groups of the real and complex spaces are considered. The relation between discrete transformations of these spaces and fundamental automorphisms of Clifford algebras is established, where an isomorphism between a finite group of the discrete transformations and an automorphism group of the Clifford algebras plays a central role. The complete classification of Dabrowski groups depending upon signatures of the spaces is given. Two types of Dabrowski quotient groups are introduced in case of odd-dimensional spaces. Application potentialities of the introduced quotient groups in Physics are discussed.

Affiliated with

Also associated with

No associations

Rating

Fundamental Automorphisms of Clifford Algebras and an Extension of Dabrowski Pin Groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fundamental Automorphisms of Clifford Algebras and an Extension of Dabrowski Pin Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fundamental Automorphisms of Clifford Algebras and an Extension of Dabrowski Pin Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-158675