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...
Gespeichert in:
| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2009 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2009
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149178 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-149178 |
|---|---|
| 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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
q-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik-Zamolodchikov Equations |
| spellingShingle |
q-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik-Zamolodchikov Equations Kuroki, K. |
| title_short |
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_sort |
q-wakimoto modules and integral formulae of solutions of the quantum knizhnik-zamolodchikov equations |
| author |
Kuroki, K. |
| author_facet |
Kuroki, K. |
| publishDate |
2009 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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].
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149178 |
| 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. |
| work_keys_str_mv |
AT kurokik qwakimotomodulesandintegralformulaeofsolutionsofthequantumknizhnikzamolodchikovequations |
| first_indexed |
2025-12-07T16:48:01Z |
| last_indexed |
2025-12-07T16:48:01Z |
| _version_ |
1850868846277165056 |