Double affine Hecke algebras /

This book 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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Cherednik, Ivan
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, U.K. ; New York : Cambridge University Press, 2005.
Colección:London Mathematical Society lecture note series ; 319.
Temas:
Hecke algebras.
Affine algebraic groups.
Harmonic analysis.
Knizhnik-Zamolodchikov equations.
Orthogonal polynomials.
Fourier Analysis
Algèbres de Hecke.
Groupes algébriques affines.
Analyse harmonique.
Équations de Knizhnik-Zamolodchikov.
Polynômes orthogonaux.
MATHEMATICS > Group Theory.
Affine algebraic groups
Harmonic analysis
Hecke algebras
Knizhnik-Zamolodchikov equations
Orthogonal polynomials
Hecke-Algebra
Darstellungstheorie
Affiene algebra's.
Harmonische analyse.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover; Series-title; Title; Copyright; Preface; Contents; Chapter 0 Introduction; 0.0 Universality of Hecke algebras; 0.1 KZ and Kac-Moody algebras; 0.2 Double Hecke algebras; 0.3 DAHA in harmonic analysis; 0.4 DAHA and Verlinde algebras; 0.5 Applications; Chapter 1 KZ and QMBP; 1.0 Soliton connection; 1.1 Affine KZ equation; 1.2 Isomorphism theorems for AKZ; 1.3 Isomorphisms for QAKZ; 1.4 DAHA and Macdonald polynomials; 1.5 Abstract KZ and elliptic QMBP; 1.6 Harish-Chandra inversion; 1.7 Factorization and r-matrices; 1.8 Coinvariant, integral formulas; Chapter 2 One-dimensional DAHA.

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