Abstract
We study the embedding U'q(so3)?Uq(sl3), where Uq(sl3) is a well known Drinfeld-Jimbo quantum algebra and the algebra U'q(so3) is the cyclically symmetric q-deformation of the universal enveloping algebra U(so3) of the Lie algebra so3 which is not a Drinfeld-Jimbo quantum algebra. Finite-dimensional irreducible representations of Uq(sl3) are decomposed into irreducible representations of U'q(so3). An explicit expression for the matrix of the transition from the Gel'fand-Tsetlin basis for Uq(sl3) to the bases of irreducible representations of U'q(so3) is calculated for representations of Uq(sl3) with highest weights (l,0,0). Entries of this matrix are expressed in terms of products of dual q-Krawtchouk polynomials and dual q-Hahn polynomials. Expressions for representation operators of Uq(sl3) in the U'q(so3) basis 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.
