Skip to main content
Article thumbnail
Location of Repository

Quantum Analogs of Tensor Product Representations of su(1,1)

By Wolter Groenevelt

Abstract

We study representations of $U_q(su(1,1))$ that can be considered as quantum analogs of tensor products of irreducible *-representations of the Lie algebra $su(1,1)$. We determine the decomposition of these representations into irreducible *-representations of $U_q(su(1,1))$ by diagonalizing the action of the Casimir operator on suitable subspaces of the representation spaces. This leads to an interpretation of the big $q$-Jacobi polynomials and big $q$-Jacobi functions as quantum analogs of Clebsch-Gordan coefficients

Topics: Mathematics - Quantum Algebra
Year: 2011
DOI identifier: 10.3842/SIGMA.2011.077
OAI identifier: oai:arXiv.org:1104.5101
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://arxiv.org/abs/1104.5101 (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.