Heisenberg-Type Families in Uq(sl₂)
Using the second Drinfeld formulation of the quantized universal enveloping algebra Uq(sl₂) we introduce a family of its Heisenberg-type elements which are endowed with a deformed commutator and satisfy properties similar to generators of a Heisenberg subalgebra. Explicit expressions for new family...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2009 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149257 |
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| Cite this: | Heisenberg-Type Families in Uq(sl₂) / A. Zuevsky // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 7 назв. — англ. |
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Zuevsky, A. 2019-02-19T19:27:47Z 2019-02-19T19:27:47Z 2009 Heisenberg-Type Families in Uq(sl₂) / A. Zuevsky // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 7 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 17B37; 20G42; 81R50 https://nasplib.isofts.kiev.ua/handle/123456789/149257 Using the second Drinfeld formulation of the quantized universal enveloping algebra Uq(sl₂) we introduce a family of its Heisenberg-type elements which are endowed with a deformed commutator and satisfy properties similar to generators of a Heisenberg subalgebra. Explicit expressions for new family of generators are found. This paper is a contribution to the Proceedings of the XVIIth International Colloquium on Integrable Systems and Quantum Symmetries (June 19–22, 2008, Prague, Czech Republic). We would like to thank A. Perelomov, D. Talalaev and M. Tuite for illuminating discussions and comments. Making use of the occasion, the author would like to express his gratitude to the Max-Planck-Institut f¨ur Mathematik in Bonn where this work has been completed. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Heisenberg-Type Families in Uq(sl₂) Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
Heisenberg-Type Families in Uq(sl₂) |
| spellingShingle |
Heisenberg-Type Families in Uq(sl₂) Zuevsky, A. |
| title_short |
Heisenberg-Type Families in Uq(sl₂) |
| title_full |
Heisenberg-Type Families in Uq(sl₂) |
| title_fullStr |
Heisenberg-Type Families in Uq(sl₂) |
| title_full_unstemmed |
Heisenberg-Type Families in Uq(sl₂) |
| title_sort |
heisenberg-type families in uq(sl₂) |
| author |
Zuevsky, A. |
| author_facet |
Zuevsky, A. |
| publishDate |
2009 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
Using the second Drinfeld formulation of the quantized universal enveloping algebra Uq(sl₂) we introduce a family of its Heisenberg-type elements which are endowed with a deformed commutator and satisfy properties similar to generators of a Heisenberg subalgebra. Explicit expressions for new family of generators are found.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149257 |
| citation_txt |
Heisenberg-Type Families in Uq(sl₂) / A. Zuevsky // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 7 назв. — англ. |
| work_keys_str_mv |
AT zuevskya heisenbergtypefamiliesinuqsl2 |
| first_indexed |
2025-12-07T16:10:16Z |
| last_indexed |
2025-12-07T16:10:16Z |
| _version_ |
1850866470894960640 |