Degenerate Series Representations of the q-Deformed Algebra so'q(r,s)
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Degenerate Series Representations of the q-Deformed Algebra so'q(r,s)
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| Creator |
Groza, V.A.
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| Description |
The q-deformed algebra so'q(r,s) is a real form of the q-deformed algebra Uq'(so(n,C)), n = r + s, which differs from the quantum algebra Uq(so(n,C)) of Drinfeld and Jimbo. We study representations of the most degenerate series of the algebra so'q(r,s). The formulas of action of operators of these representations upon the basis corresponding to restriction of representations onto the subalgebra so'q(r) × so'q(s) are given. Most of these representations are irreducible. Reducible representations appear under some conditions for the parameters determining the representations. All irreducible constituents which appear in reducible representations of the degenerate series are found. All *-representations of so'q(r,s) are separated in the set of irreducible representations obtained in the paper.
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| Date |
2019-02-14T14:53:02Z
2019-02-14T14:53:02Z 2007 |
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| Type |
Article
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| Identifier |
Degenerate Series Representations of the q-Deformed Algebra so'q(r,s) / V.A. Groza // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 21 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 16B35; 16B37; 81R50 http://dspace.nbuv.gov.ua/handle/123456789/147377 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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