Abstract

The generalization of the isoparity (G-parity) for an arbitrary internal symmetry group is the problem of adjoining appropriately the charge conjugation operation, thereby extending the group. A complete solution to this problem is given, and explicitly detailed for the four families of compact, simple and simply-connected Lie groups (\(SU_n ,\bar R_{2k + 1} ,\bar R_{2k} \) andSp n ).The extended isoparity is shown to depend upon the structure of the groups in question, and the required structure is developed and summarized. The properties of the extended isoparity are discussed and two special cases — ‘strongG-parity’ and ‘weakG-parity’ — are treated in more detail.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.