q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra Uq(u(n,1))
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 represent...
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| Дата: | 2010 |
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| Автори: | , , , , |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2010
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146148 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146148 |
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irk-123456789-1461482019-02-08T01:23:20Z q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra Uq(u(n,1)) Asherova, R.M. Burdík, Č. Havlíček, M. Smirnov, Y.F. Tolstoy, V.N. 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. 2010 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Asherova, R.M. Burdík, Č. Havlíček, M. Smirnov, Y.F. Tolstoy, V.N. |
| spellingShingle |
Asherova, R.M. Burdík, Č. Havlíček, M. Smirnov, Y.F. Tolstoy, V.N. q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra Uq(u(n,1)) Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Asherova, R.M. Burdík, Č. Havlíček, M. Smirnov, Y.F. Tolstoy, V.N. |
| author_sort |
Asherova, R.M. |
| title |
q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra Uq(u(n,1)) |
| title_short |
q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra Uq(u(n,1)) |
| title_full |
q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra Uq(u(n,1)) |
| title_fullStr |
q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra Uq(u(n,1)) |
| title_full_unstemmed |
q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra Uq(u(n,1)) |
| title_sort |
q-analog of gelfand-graev basis for the noncompact quantum algebra uq(u(n,1)) |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146148 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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