{"product_id":"double-affine-hecke-algebras-ivan-cherednik-9780521609180","title":"Double Affine Hecke Algebras","description":"This is a unique, essentially self-contained, monograph in a new 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, all those who want to master the new double Hecke algebra technique.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Ivan Cherednik\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0521609186\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780521609180\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 03\/21\/2005\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 448\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.40lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.94h x 6.28w x 0.85d","brand":"Ivan Cherednik","offers":[{"title":"Paperback","offer_id":43920040362239,"sku":"9780521609180","price":104.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_8e219c41-6ed7-4885-b22d-e7a47bb09612.jpg?v=1680813266","url":"https:\/\/www.whiterainbookhouse.com\/products\/double-affine-hecke-algebras-ivan-cherednik-9780521609180","provider":"WR Book House","version":"1.0","type":"link"}