1996/10/25 by B. Abdesselam, A. Chakrabarti, R. Chakrabarti · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #Algebraic structures and combinatorial models #math.QA #q-alg
paper · pdf · doi:10.1142/s0217751x97001341
published as Int. J. Mod. Phys. A, Vol. 12, No. 13 (1997) 2301-2319 · 19 pages, latex-file, version to be published in Int. Jour. Mod. phys
arxiv created 1996/10/25 · openalex publication_date 1997/05/20 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
By solving a set of recursion relations for the matrix elements of the [Formula: see text] generators, the finite dimensional highest weight representations of the algebra were obtained as factor representations. Taking a nonlinear combination of the generators of the two copies of the [Formula: see text] algebra, we obtained [Formula: see text] algebra. The latter, on contraction, yields [Formula: see text] algebra. A nonlinear map of [Formula: see text] algebra on its classical analog e(3) was obtained. The inverse mapping was found to be singular. It signifies a physically interesting situation, where in the momentum basis, a restricted domain of the eigenvalues of the classical operators is mapped on the whole real domain of the eigenvalues of the deformed operators.