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

A. M. Gavrilik·N. Z. Iorgov
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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.

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BibTeXRIS

A. M. Gavrilik, N. Z. Iorgov. 1999-11-25. On the Casimir Elements of q-Algebras U'_q(so_n) and Their Eigenvalues in Representations. https://arxiv.org/abs/math/9911201

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