A Family of Finite-Dimensional Representations of Generalized Double Affine Hecke Algebras of Higher Rank
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A Family of Finite-Dimensional Representations of Generalized Double Affine Hecke Algebras of Higher Rank
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| Creator |
Fu, Y.
Shelley-Abrahamson, S. |
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| Description |
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.
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| Date |
2019-02-15T19:09:31Z
2019-02-15T19:09:31Z 2016 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 20C08 DOI:10.3842/SIGMA.2016.055 http://dspace.nbuv.gov.ua/handle/123456789/147751 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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