On the Casimir Elements of q-Algebras U'_q(so_n) and Their Eigenvalues in Representations

Abstract

The nonstandard q-deformed algebras U'_q(so_n) are known to possess q-analogues of Gel'fand-Tsetlin type representations. For these q-algebras, all the Casimir elements (corresponding to basis set of Casimir elements of so(n)) are found, and their eigenvalues within irreducible representations are given explicitly.

5 pages, LaTeX. Contribution to proceedings of III Int. Conf. "Symmetry in Nonlinear Mathematical Physics" (Kiev, 12-18 July, 1999)

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