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

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

1999-11-25

arxiv.org/abs/math/9911201v1

EconfC990712:310-314,1999

Mathematics

Quantum Algebra

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

Scientific paper

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.

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