Double Affine Hecke Algebras and Difference Fourier Transforms
| dc.creator | Cherednik, Ivan | |
| dc.date | 2001-10-01 | |
| dc.date | 2002-12-01 | |
| dc.date.accessioned | 2026-07-07T04:43:37Z | |
| dc.date.available | 2026-07-07T04:43:37Z | |
| dc.description | In the paper, we introduce and calculate difference Fourier transforms on representations of the double affine Hecke algebras in polynomilas, polynomials multiplied by the Gaussian, and various spaces of delta-functions including finite-dimensional ones, give a general description of the semisimple representations with a special consideration of the GL-case, and then gradually restrict ourselves with spherical, pseudo-unitary, and Fourier-invariant representations. The latter generalize the Verlinde algebras and lead to new Gauss-Selberg sums and Macdonald's eta-type identities. | |
| dc.description | 106 pgs, LaTeX, to appear in Inventiones Math. A latex variant with some changes in Intro and Ch.7 | |
| dc.identifier | https://arxiv.org/abs/math/0110024 | |
| dc.identifier | http://arxiv.org/abs/math/0110024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62299 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Representation Theory | |
| dc.title | Double Affine Hecke Algebras and Difference Fourier Transforms | |
| dc.type | text |