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періодичних видань НАН України
періодичних видань НАН України
A Family of Finite-Dimensional Representations of Generalized Double Affine Hecke Algebras of Higher Rank
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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| dc.contributor.author | Fu, Y. | |
| dc.contributor.author | Shelley-Abrahamson, S. | |
| dc.date.accessioned | 2019-02-15T19:09:31Z | |
| dc.date.available | 2019-02-15T19:09:31Z | |
| dc.date.issued | 2016 | |
| dc.identifier.citation | A Family of Finite-Dimensional Representations of Generalized Double Affine Hecke Algebras of Higher Rank / Y. Fu, S. Shelley-Abrahamson // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 15 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 20C08 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2016.055 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147751 | |
| dc.description.abstract | We give explicit constructions of some finite-dimensional representations of generalized double affine Hecke algebras (GDAHA) of higher rank using R-matrices for Uq(slN). Our construction is motivated by an analogous construction of Silvia Montarani in the rational case. Using the Drinfeld-Kohno theorem for Knizhnik-Zamolodchikov differential equations, we prove that the explicit representations we produce correspond to Montarani's representations under a monodromy functor introduced by Etingof, Gan, and Oblomkov. | uk_UA |
| dc.description.sponsorship | A portion of this work was conducted at the 2015 MIT Summer Program in Undergraduate Research and the MIT Undergraduate Research Opportunities Program, for which the second author was a graduate student mentor. We thank Pavel Etingof for many useful discussions and for suggesting the direction of this work. We also thank the anonymous referees for their valuable remarks and suggestions. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | A Family of Finite-Dimensional Representations of Generalized Double Affine Hecke Algebras of Higher Rank | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
