A Family of Finite-Dimensional Representations of Generalized Double Affine Hecke Algebras of Higher Rank

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• Main Authors: Fu, Y., Shelley-Abrahamson, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147751
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 the...