On Casimir elements of \(q\)-algebras \(U_q'(so_n)\) and their eigenvalues in representations (Q2711728)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Casimir elements of \(q\)-algebras \(U_q'(so_n)\) and their eigenvalues in representations |
scientific article |
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25 April 2001
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nonstandard \(q\)-deformed algebras
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Casimir elements
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Gelfand-Tsetlin representations
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0.9062787
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0.90566534
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0.8973812
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0.88802046
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0.88341784
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0.8823781
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On Casimir elements of \(q\)-algebras \(U_q'(so_n)\) and their eigenvalues in representations (English)
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It is known that the nonstandard \(q\)-deformed algebras \(U_q'(so_n)\) introduced by \textit{A. M. Gavrilik} and \textit{A. U. Klimyk} [Lett. Math. Phys. 21, No. 3, 215-220 (1991; Zbl 0735.17020)] possess \(q\)-analogues of Gelfand-Tsetlin type representations. The authors find Casimir elements for these \(q\)-algebras and compute explicitly the eigenvalues of the corresponding operators in irreducible representations.NEWLINENEWLINEFor the entire collection see [Zbl 0937.00046].
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