cdc-coteauxdegaronne
» » Double Affine Hecke Algebras (London Mathematical Society Lecture Note Series)
eBook Double Affine Hecke Algebras (London Mathematical Society Lecture Note Series) ePub

eBook Double Affine Hecke Algebras (London Mathematical Society Lecture Note Series) ePub

by Ivan Cherednik

  • ISBN: 0521609186
  • Category: Mathematics
  • Subcategory: Math Science
  • Author: Ivan Cherednik
  • Language: English
  • Publisher: Cambridge University Press; 1 edition (April 11, 2005)
  • Pages: 448
  • ePub book: 1269 kb
  • Fb2 book: 1540 kb
  • Other: doc lit rtf azw
  • Rating: 4.6
  • Votes: 691

Description

Double Affine Hecke Algebras (London Mathematical Society Lecture Note Series).

Double Affine Hecke Algebras (London Mathematical Society Lecture Note Series). Download (pdf, . 4 Mb) Donate Read.

Affine Hecke algebra. London Mathematical Society Lecture Note Series. 319. Cambridge University Press. For other mathematical rings called Hecke algebras, see Hecke algebra (disambiguation). Ivan Cherednik introduced generalizations of affine Hecke algebras, the so-called double affine Hecke algebra (usually referred to as DAHA). Using this he was able to give a proof of Macdonald's constant term conjecture for Macdonald polynomials (building on work of Eric Opdam). ISBN 978-0-521-60918-0.

In mathematics, a double affine Hecke algebra, or Cherednik algebra, is an algebra containing the Hecke algebra of an affine Weyl group, given as the quotient of the group ring of a double affine braid group. They were introduced by Cherednik, who used them to prove Macdonald's constant term conjecture for Macdonald polynomials. Infinitesimal Cherednik algebras have significant implications in representation theory, and therefore have important applications in particle physics and in chemistry.

It is a major source of general information about the double affine Hecke algebra, also called Cherednik's algebra, and its impressive applications. See all Product description.

September 2003 · Bulletin of the American Mathematical Society.

A second key development is mainly due to Ivan Cherednik. The role of quantum groups is taken over by Hecke algebras. This theory produces universal solutions of generalized quantum Yang-Baxter equations. Quantum Yang-Baxter equation. Let V be a complex vector space.

Электронная книга "Double Affine Hecke Algebras", Ivan Cherednik. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Double Affine Hecke Algebras" для чтения в офлайн-режиме.

c 1997 American Mathematical Society. 252 alexander a. kirillov, jr. These lectures are of an expository nature and do not contain any new results. I am deeply grateful to Ivan Cherednik for numerous discussions, in which he explained to me many parts of this theory. Without these discussions, my lectures would never have come to a happy end. I would like to thank the mathematics department of Harvard University for its hospitality during my work on these lectures and Professors Tom Koornwinder, Masatoshi Noumi, and Sergei Fomin for their valuable remarks on the preliminary version of these notes.

In mathematics, a double affine Hecke algebra, or Cherednik algebra, is an algebra containing the Hecke . YouTube Encyclopedic.

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.