| 000 | 02556nam a22003978i 4500 | ||
|---|---|---|---|
| 001 | CR9780511546501 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160240.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 090508s2005||||enk o ||1 0|eng|d | ||
| 020 | _a9780511546501 (ebook) | ||
| 020 | _z9780521609180 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA176 _b.C49 2005 |
| 082 | 0 | 0 |
_a512/.22 _222 |
| 100 | 1 |
_aCherednik, Ivan, _eauthor. |
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| 245 | 1 | 0 |
_aDouble affine Hecke algebras / _cIvan Cherednik. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2005. |
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| 300 |
_a1 online resource (xii, 434 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aLondon Mathematical Society lecture note series ; _v319 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 505 | 0 | 0 |
_g1. _tKZ and QMBP -- _g2. _tOne-dimensional DAHA -- _g3. _tGeneral theory. |
| 520 | _aThis is an essentially self-contained monograph in an intriguing field of fundamental importance for Representation Theory, Harmonic Analysis, Mathematical Physics, and Combinatorics. It is a major source of general information about the double affine Hecke algebra, also called Cherednik's algebra, and its impressive applications. Chapter 1 is devoted to the Knizhnik-Zamolodchikov equations attached to root systems and their relations to affine Hecke algebras, Kac-Moody algebras, and Fourier analysis. Chapter 2 contains a systematic exposition of the representation theory of the one-dimensional DAHA. It is the simplest case but far from trivial with deep connections in the theory of special functions. Chapter 3 is about DAHA in full generality, including applications to Macdonald polynomials, Fourier transforms, Gauss-Selberg integrals, Verlinde algebras, and Gaussian sums. This book is designed for mathematicians and physicists, experts and students, for those who want to master the double Hecke algebra technique. Visit http://arxiv.org/math.QA/0404307 to read Chapter 0 and selected topics from other chapters. | ||
| 650 | 0 | _aHecke algebras. | |
| 650 | 0 | _aAffine algebraic groups. | |
| 650 | 0 | _aHarmonic analysis. | |
| 650 | 0 | _aKnizhnik-Zamolodchikov equations. | |
| 650 | 0 | _aOrthogonal polynomials. | |
| 776 | 0 | 8 |
_iPrint version: _z9780521609180 |
| 830 | 0 |
_aLondon Mathematical Society lecture note series ; _v319. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511546501 |
| 999 |
_c518419 _d518417 |
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