Duality for Knizhnik-Zamolodchikov and Dynamical Operators
We consider the Knizhnik-Zamolodchikov and dynamical operators, both differential and difference, in the context of the (glₖ,glₙ)-duality for the space of polynomials in 𝑘𝑛 anticommuting variables. We show that the Knizhnik-Zamolodchikov and dynamical operators naturally exchange under the duality....
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2020 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2020
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/210715 |
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| Zitieren: | Duality for Knizhnik-Zamolodchikov and Dynamical Operators. Vitaly Tarasov and Filipp Uvarov. SIGMA 16 (2020), 035, 10 pages |
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Tarasov, Vitaly Uvarov, Filipp 2025-12-15T15:29:45Z 2020 Duality for Knizhnik-Zamolodchikov and Dynamical Operators. Vitaly Tarasov and Filipp Uvarov. SIGMA 16 (2020), 035, 10 pages 1815-0659 2020 Mathematics Subject Classification: 17B37; 81R10; 81R50; 39A12 arXiv:1904.07309 https://nasplib.isofts.kiev.ua/handle/123456789/210715 https://doi.org/10.3842/SIGMA.2020.035 We consider the Knizhnik-Zamolodchikov and dynamical operators, both differential and difference, in the context of the (glₖ,glₙ)-duality for the space of polynomials in 𝑘𝑛 anticommuting variables. We show that the Knizhnik-Zamolodchikov and dynamical operators naturally exchange under the duality. V. Tarasov was supported in part by a Simons Foundation grant 430235. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Duality for Knizhnik-Zamolodchikov and Dynamical Operators Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Duality for Knizhnik-Zamolodchikov and Dynamical Operators |
| spellingShingle |
Duality for Knizhnik-Zamolodchikov and Dynamical Operators Tarasov, Vitaly Uvarov, Filipp |
| title_short |
Duality for Knizhnik-Zamolodchikov and Dynamical Operators |
| title_full |
Duality for Knizhnik-Zamolodchikov and Dynamical Operators |
| title_fullStr |
Duality for Knizhnik-Zamolodchikov and Dynamical Operators |
| title_full_unstemmed |
Duality for Knizhnik-Zamolodchikov and Dynamical Operators |
| title_sort |
duality for knizhnik-zamolodchikov and dynamical operators |
| author |
Tarasov, Vitaly Uvarov, Filipp |
| author_facet |
Tarasov, Vitaly Uvarov, Filipp |
| publishDate |
2020 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We consider the Knizhnik-Zamolodchikov and dynamical operators, both differential and difference, in the context of the (glₖ,glₙ)-duality for the space of polynomials in 𝑘𝑛 anticommuting variables. We show that the Knizhnik-Zamolodchikov and dynamical operators naturally exchange under the duality.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/210715 |
| citation_txt |
Duality for Knizhnik-Zamolodchikov and Dynamical Operators. Vitaly Tarasov and Filipp Uvarov. SIGMA 16 (2020), 035, 10 pages |
| work_keys_str_mv |
AT tarasovvitaly dualityforknizhnikzamolodchikovanddynamicaloperators AT uvarovfilipp dualityforknizhnikzamolodchikovanddynamicaloperators |
| first_indexed |
2025-12-17T12:04:34Z |
| last_indexed |
2025-12-17T12:04:34Z |
| _version_ |
1851756982378168320 |