q-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik-Zamolodchikov Equations
Matrix elements of intertwining operators between q-Wakimoto modules associated to the tensor product of representations of Uq(^sl2) with arbitrary spins are studied. It is shown that they coincide with the Tarasov-Varchenko's formulae of the solutions of the qKZ equations. The result generaliz...
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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/123456789/149178 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | q-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik-Zamolodchikov Equations / K. Kuroki // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 13 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862703299510140928 |
|---|---|
| author | Kuroki, K. |
| author_facet | Kuroki, K. |
| citation_txt | q-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik-Zamolodchikov Equations / K. Kuroki // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 13 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Matrix elements of intertwining operators between q-Wakimoto modules associated to the tensor product of representations of Uq(^sl2) with arbitrary spins are studied. It is shown that they coincide with the Tarasov-Varchenko's formulae of the solutions of the qKZ equations. The result generalizes that of the previous paper [Kuroki K., Nakayashiki A., SIGMA 4 (2008), 049, 13 pages].
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| first_indexed | 2025-12-07T16:48:01Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-149178 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:48:01Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Kuroki, K. 2019-02-19T18:13:57Z 2019-02-19T18:13:57Z 2009 q-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik-Zamolodchikov Equations / K. Kuroki // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 13 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81R50; 20G42; 17B69 https://nasplib.isofts.kiev.ua/handle/123456789/149178 Matrix elements of intertwining operators between q-Wakimoto modules associated to the tensor product of representations of Uq(^sl2) with arbitrary spins are studied. It is shown that they coincide with the Tarasov-Varchenko's formulae of the solutions of the qKZ equations. The result generalizes that of the previous paper [Kuroki K., Nakayashiki A., SIGMA 4 (2008), 049, 13 pages]. After completing the paper we know that similar results to the present paper are obtained by H. Awata, S. Odake and J. Shiraishi [12]. I would like to thank all of them for kind correspondences and permitting me to write the results in a single authored paper. I am also grateful to Professor H. Konno for useful comments. I would like to thank Professor A. Nakayashiki for constant encouragements. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications q-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik-Zamolodchikov Equations Article published earlier |
| spellingShingle | q-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik-Zamolodchikov Equations Kuroki, K. |
| title | q-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik-Zamolodchikov Equations |
| title_full | q-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik-Zamolodchikov Equations |
| title_fullStr | q-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik-Zamolodchikov Equations |
| title_full_unstemmed | q-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik-Zamolodchikov Equations |
| title_short | q-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik-Zamolodchikov Equations |
| title_sort | q-wakimoto modules and integral formulae of solutions of the quantum knizhnik-zamolodchikov equations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149178 |
| work_keys_str_mv | AT kurokik qwakimotomodulesandintegralformulaeofsolutionsofthequantumknizhnikzamolodchikovequations |