Abstract
Via the method of induced representations, all irreducible unitary projective representations of the recently introduced new relativistic dynamical group Open image in new window are deduced and classified. An explicit form of the transformation law is given. The properties of the corresponding infinite-dimensional basis functions are studied. It is shown that in the limiting case ofl=∞ (corresponding to Open image in new window ) the infinite spin-tower representations become reducible and decompose into irreducible representations of the Poincare group. The reduction of the direct product of two irreducible unitary ray representations of Open image in new window is studied. The Clebsch-Gordan coefficients are computed. Finally, some comments on the physical interpretation of the results are given.
Sign-in/Register to access full text options 
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 callDisclaimer: 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.
