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...
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge, U.K. ; New York :
Cambridge University Press,
2005.
|
Schriftenreihe: | London Mathematical Society lecture note series ;
319. |
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | 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 algebra, and its impressive applications. |
Beschreibung: | 1 online resource (xii, 434 pages) |
Bibliographie: | Includes bibliographical references (pages 418-430) and index. |
ISBN: | 0511113188 9780511113185 0511111657 9780511111655 051111267X 9780511112676 9780511546501 0511546505 9780521609180 0521609186 1280414960 9781280414961 |
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245 | 1 | 0 | |a Double affine Hecke algebras / |c Ivan Cherednik. |
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520 | |a 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 algebra, and its impressive applications. | ||
505 | 0 | |a 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. | |
588 | 0 | |a Print version record. | |
650 | 0 | |a Hecke algebras. |0 http://id.loc.gov/authorities/subjects/sh90002586 | |
650 | 0 | |a Affine algebraic groups. |0 http://id.loc.gov/authorities/subjects/sh96011312 | |
650 | 0 | |a Harmonic analysis. |0 http://id.loc.gov/authorities/subjects/sh85058939 | |
650 | 0 | |a Knizhnik-Zamolodchikov equations. |0 http://id.loc.gov/authorities/subjects/sh2003001321 | |
650 | 0 | |a Orthogonal polynomials. |0 http://id.loc.gov/authorities/subjects/sh85095794 | |
650 | 2 | |a Fourier Analysis |0 https://id.nlm.nih.gov/mesh/D005583 | |
650 | 6 | |a Algèbres de Hecke. | |
650 | 6 | |a Groupes algébriques affines. | |
650 | 6 | |a Analyse harmonique. | |
650 | 6 | |a Équations de Knizhnik-Zamolodchikov. | |
650 | 6 | |a Polynômes orthogonaux. | |
650 | 7 | |a MATHEMATICS |x Group Theory. |2 bisacsh | |
650 | 0 | 7 | |a Hecke algebras. |2 cct |
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776 | 0 | 8 | |i Print version: |a Cherednik, Ivan. |t Double affine Hecke algebras. |d Cambridge, U.K. ; New York : Cambridge University Press, 2005 |z 0521609186 |w (DLC) 2004054567 |w (OCoLC)55955646 |
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author | Cherednik, Ivan |
author_GND | http://id.loc.gov/authorities/names/n96005912 |
author_facet | Cherednik, Ivan |
author_role | |
author_sort | Cherednik, Ivan |
author_variant | i c ic |
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callnumber-first | Q - Science |
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collection | ZDB-4-EBA |
contents | 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. |
ctrlnum | (OCoLC)60573624 |
dewey-full | 512.22 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512.22 |
dewey-search | 512.22 |
dewey-sort | 3512.22 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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id | ZDB-4-EBA-ocm60573624 |
illustrated | Not Illustrated |
indexdate | 2024-11-27T13:15:44Z |
institution | BVB |
isbn | 0511113188 9780511113185 0511111657 9780511111655 051111267X 9780511112676 9780511546501 0511546505 9780521609180 0521609186 1280414960 9781280414961 |
language | English |
oclc_num | 60573624 |
open_access_boolean | |
owner | MAIN DE-863 DE-BY-FWS |
owner_facet | MAIN DE-863 DE-BY-FWS |
physical | 1 online resource (xii, 434 pages) |
psigel | ZDB-4-EBA |
publishDate | 2005 |
publishDateSearch | 2005 |
publishDateSort | 2005 |
publisher | Cambridge University Press, |
record_format | marc |
series | London Mathematical Society lecture note series ; |
series2 | London Mathematical Society lecture note series ; |
spelling | Cherednik, Ivan. http://id.loc.gov/authorities/names/n96005912 Double affine Hecke algebras / Ivan Cherednik. Cambridge, U.K. ; New York : Cambridge University Press, 2005. 1 online resource (xii, 434 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 319 Includes bibliographical references (pages 418-430) and index. 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 algebra, and its impressive applications. 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. Print version record. Hecke algebras. http://id.loc.gov/authorities/subjects/sh90002586 Affine algebraic groups. http://id.loc.gov/authorities/subjects/sh96011312 Harmonic analysis. http://id.loc.gov/authorities/subjects/sh85058939 Knizhnik-Zamolodchikov equations. http://id.loc.gov/authorities/subjects/sh2003001321 Orthogonal polynomials. http://id.loc.gov/authorities/subjects/sh85095794 Fourier Analysis https://id.nlm.nih.gov/mesh/D005583 Algèbres de Hecke. Groupes algébriques affines. Analyse harmonique. Équations de Knizhnik-Zamolodchikov. Polynômes orthogonaux. MATHEMATICS Group Theory. bisacsh Hecke algebras. cct Affine algebraic groups. cct Harmonic analysis. cct Knizhnik-Zamolodchikov equations. cct Orthogonal polynomials. cct Affine algebraic groups fast Harmonic analysis fast Hecke algebras fast Knizhnik-Zamolodchikov equations fast Orthogonal polynomials fast Hecke-Algebra gnd http://d-nb.info/gnd/4159341-8 Darstellungstheorie gnd http://d-nb.info/gnd/4148816-7 Affiene algebra's. gtt Harmonische analyse. gtt Print version: Cherednik, Ivan. Double affine Hecke algebras. Cambridge, U.K. ; New York : Cambridge University Press, 2005 0521609186 (DLC) 2004054567 (OCoLC)55955646 London Mathematical Society lecture note series ; 319. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=132311 Volltext |
spellingShingle | Cherednik, Ivan Double affine Hecke algebras / London Mathematical Society lecture note series ; 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. Hecke algebras. http://id.loc.gov/authorities/subjects/sh90002586 Affine algebraic groups. http://id.loc.gov/authorities/subjects/sh96011312 Harmonic analysis. http://id.loc.gov/authorities/subjects/sh85058939 Knizhnik-Zamolodchikov equations. http://id.loc.gov/authorities/subjects/sh2003001321 Orthogonal polynomials. http://id.loc.gov/authorities/subjects/sh85095794 Fourier Analysis https://id.nlm.nih.gov/mesh/D005583 Algèbres de Hecke. Groupes algébriques affines. Analyse harmonique. Équations de Knizhnik-Zamolodchikov. Polynômes orthogonaux. MATHEMATICS Group Theory. bisacsh Hecke algebras. cct Affine algebraic groups. cct Harmonic analysis. cct Knizhnik-Zamolodchikov equations. cct Orthogonal polynomials. cct Affine algebraic groups fast Harmonic analysis fast Hecke algebras fast Knizhnik-Zamolodchikov equations fast Orthogonal polynomials fast Hecke-Algebra gnd http://d-nb.info/gnd/4159341-8 Darstellungstheorie gnd http://d-nb.info/gnd/4148816-7 Affiene algebra's. gtt Harmonische analyse. gtt |
subject_GND | http://id.loc.gov/authorities/subjects/sh90002586 http://id.loc.gov/authorities/subjects/sh96011312 http://id.loc.gov/authorities/subjects/sh85058939 http://id.loc.gov/authorities/subjects/sh2003001321 http://id.loc.gov/authorities/subjects/sh85095794 https://id.nlm.nih.gov/mesh/D005583 http://d-nb.info/gnd/4159341-8 http://d-nb.info/gnd/4148816-7 |
title | Double affine Hecke algebras / |
title_auth | Double affine Hecke algebras / |
title_exact_search | Double affine Hecke algebras / |
title_full | Double affine Hecke algebras / Ivan Cherednik. |
title_fullStr | Double affine Hecke algebras / Ivan Cherednik. |
title_full_unstemmed | Double affine Hecke algebras / Ivan Cherednik. |
title_short | Double affine Hecke algebras / |
title_sort | double affine hecke algebras |
topic | Hecke algebras. http://id.loc.gov/authorities/subjects/sh90002586 Affine algebraic groups. http://id.loc.gov/authorities/subjects/sh96011312 Harmonic analysis. http://id.loc.gov/authorities/subjects/sh85058939 Knizhnik-Zamolodchikov equations. http://id.loc.gov/authorities/subjects/sh2003001321 Orthogonal polynomials. http://id.loc.gov/authorities/subjects/sh85095794 Fourier Analysis https://id.nlm.nih.gov/mesh/D005583 Algèbres de Hecke. Groupes algébriques affines. Analyse harmonique. Équations de Knizhnik-Zamolodchikov. Polynômes orthogonaux. MATHEMATICS Group Theory. bisacsh Hecke algebras. cct Affine algebraic groups. cct Harmonic analysis. cct Knizhnik-Zamolodchikov equations. cct Orthogonal polynomials. cct Affine algebraic groups fast Harmonic analysis fast Hecke algebras fast Knizhnik-Zamolodchikov equations fast Orthogonal polynomials fast Hecke-Algebra gnd http://d-nb.info/gnd/4159341-8 Darstellungstheorie gnd http://d-nb.info/gnd/4148816-7 Affiene algebra's. gtt Harmonische analyse. gtt |
topic_facet | 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. |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=132311 |
work_keys_str_mv | AT cherednikivan doubleaffineheckealgebras |