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 anticommuting variables. We show that the Knizhnik-Zamolodchikov and dynamical operators naturally exchange under the duality....

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Authors: Tarasov, Vitaly, Uvarov, Filipp
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210715
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Duality for Knizhnik-Zamolodchikov and Dynamical Operators. Vitaly Tarasov and Filipp Uvarov. SIGMA 16 (2020), 035, 10 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Tarasov, Vitaly
Uvarov, Filipp
author_facet Tarasov, Vitaly
Uvarov, Filipp
citation_txt Duality for Knizhnik-Zamolodchikov and Dynamical Operators. Vitaly Tarasov and Filipp Uvarov. SIGMA 16 (2020), 035, 10 pages
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
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 anticommuting variables. We show that the Knizhnik-Zamolodchikov and dynamical operators naturally exchange under the duality.
first_indexed 2025-12-17T12:04:34Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-12-17T12:04:34Z
publishDate 2020
publisher Інститут математики НАН України
record_format dspace
spelling 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 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
spellingShingle Duality for Knizhnik-Zamolodchikov and Dynamical Operators
Tarasov, Vitaly
Uvarov, Filipp
title 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_short Duality for Knizhnik-Zamolodchikov and Dynamical Operators
title_sort duality for knizhnik-zamolodchikov and dynamical operators
url https://nasplib.isofts.kiev.ua/handle/123456789/210715
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AT uvarovfilipp dualityforknizhnikzamolodchikovanddynamicaloperators