On the Casimir Elements of q-Algebras U'q(son) and Their Eigenvalues in Representations
Abstract
The nonstandard q-deformed algebras U'q(son) 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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