Double affine Hecke algebras:
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 alge...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2005
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| Schriftenreihe: | London Mathematical Society lecture note series
319 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xii, 434 pages) |
| ISBN: | 9780511546501 |
| DOI: | 10.1017/CBO9780511546501 |
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| 520 | |a 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 | ||
| 650 | 4 | |a Hecke algebras | |
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Datensatz im Suchindex
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| author | Cherednik, Ivan |
| author_facet | Cherednik, Ivan |
| author_role | aut |
| author_sort | Cherednik, Ivan |
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| building | Verbundindex |
| bvnumber | BV043942220 |
| classification_rvk | SK 320 |
| collection | ZDB-20-CBO |
| contents | KZ and QMBP One-dimensional DAHA General theory |
| ctrlnum | (ZDB-20-CBO)CR9780511546501 (OCoLC)850253292 (DE-599)BVBBV043942220 |
| 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 222 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511546501 |
| format | Electronic eBook |
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| id | DE-604.BV043942220 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511546501 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351189 |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xii, 434 pages) |
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| publishDate | 2005 |
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| publisher | Cambridge University Press |
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| series2 | London Mathematical Society lecture note series |
| spelling | Cherednik, Ivan Verfasser aut Double affine Hecke algebras Ivan Cherednik Cambridge Cambridge University Press 2005 1 online resource (xii, 434 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 319 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1 KZ and QMBP 2 One-dimensional DAHA 3 General theory 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 Hecke algebras Affine algebraic groups Harmonic analysis Knizhnik-Zamolodchikov equations Orthogonal polynomials Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Affine Algebra (DE-588)4348233-8 gnd rswk-swf Hecke-Algebra (DE-588)4159341-8 gnd rswk-swf Hecke-Algebra (DE-588)4159341-8 s Affine Algebra (DE-588)4348233-8 s Harmonische Analyse (DE-588)4023453-8 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-60918-0 https://doi.org/10.1017/CBO9780511546501 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Cherednik, Ivan Double affine Hecke algebras KZ and QMBP One-dimensional DAHA General theory Hecke algebras Affine algebraic groups Harmonic analysis Knizhnik-Zamolodchikov equations Orthogonal polynomials Harmonische Analyse (DE-588)4023453-8 gnd Affine Algebra (DE-588)4348233-8 gnd Hecke-Algebra (DE-588)4159341-8 gnd |
| subject_GND | (DE-588)4023453-8 (DE-588)4348233-8 (DE-588)4159341-8 |
| title | Double affine Hecke algebras |
| title_alt | KZ and QMBP One-dimensional DAHA General theory |
| 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 Affine algebraic groups Harmonic analysis Knizhnik-Zamolodchikov equations Orthogonal polynomials Harmonische Analyse (DE-588)4023453-8 gnd Affine Algebra (DE-588)4348233-8 gnd Hecke-Algebra (DE-588)4159341-8 gnd |
| topic_facet | Hecke algebras Affine algebraic groups Harmonic analysis Knizhnik-Zamolodchikov equations Orthogonal polynomials Harmonische Analyse Affine Algebra Hecke-Algebra |
| url | https://doi.org/10.1017/CBO9780511546501 |
| work_keys_str_mv | AT cherednikivan doubleaffineheckealgebras |