Double Affine Hecke Algebras 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025

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Cherednik, Ivan 作者

译者

2005-3 出版日期

448 页数

$ 108.48 价格

丛书系列

9780521609180 图书编码

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发表于2025-01-06

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Double Affine Hecke Algebras 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2025

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This 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.

Double Affine Hecke Algebras 在线电子书下载 mobi epub pdf txt 在线电子书下载

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