q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra Uq(u(n,1))
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra Uq(u(n,1))
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| Creator |
Asherova, R.M.
Burdík, Č. Havlíček, M. Smirnov, Y.F. Tolstoy, V.N. |
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| Description |
For the quantum algebra Uq(gl(n+1)) in its reduction on the subalgebra Uq(gl(n)) an explicit description of a Mickelsson-Zhelobenko reduction Z-algebra Zq(gl(n+1),gl(n)) is given in terms of the generators and their defining relations. Using this Z-algebra we describe Hermitian irreducible representations of a discrete series for the noncompact quantum algebra Uq(u(n,1)) which is a real form of Uq(gl(n+1)), namely, an orthonormal Gelfand-Graev basis is constructed in an explicit form.
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| Date |
2019-02-07T19:04:36Z
2019-02-07T19:04:36Z 2010 |
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| Type |
Article
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| Identifier |
q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra Uq(u(n,1)) / R.M. Asherova // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 16 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 17B37; 81R50 http://dspace.nbuv.gov.ua/handle/123456789/146148 |
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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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