Affine Hecke algebras and orthogonal polynomials:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2003
|
| Edition: | 1. publ. |
| Series: | Cambridge tracts in mathematics
157 |
| Subjects: | |
| Online Access: | Publisher description Table of contents Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references (p. 170-172) and index |
| Physical Description: | IX, 175 S. |
| ISBN: | 0521824729 |
Staff View
MARC
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| 245 | 1 | 0 | |a Affine Hecke algebras and orthogonal polynomials |c I.G. Macdonald |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2003 | |
| 300 | |a IX, 175 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Cambridge tracts in mathematics |v 157 | |
| 500 | |a Includes bibliographical references (p. 170-172) and index | ||
| 650 | 4 | |a Hecke, Algèbres de | |
| 650 | 4 | |a Polynômes orthogonaux | |
| 650 | 7 | |a Speciale functies (wiskunde) |2 gtt | |
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Record in the Search Index
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| adam_text | Contents
Introduction page vii
1 Affine root systems 1
1.1 Notation and terminology 1
1.2 Affine root systems 3
1.3 Classification of affine root systems 6
1.4 Duality 12
1.5 Labels 14
2 The extended affine Weyl group 17
2.1 Definition and basic properties 17
2.2 The length function on W 19
2.3 The Bruhat order on W 22
2.4 The elements u{ ), v(X ) 23
2.5 The group ft 27
2.6 Convexity 29
2.7 The partial order on L 31
2.8 The functions rk ,r k 34
3 The braid group 37
3.1 Definition of the braid group 37
3.2 The elements Y1 39
3.3 Another presentation of 25 42
3.4 The double braid group 45
3.5 Duality 47
3.6 The case R = R 49
3.7 The case R / R 52
v
vi Contents
4 The afflne Hecke algebra 55
4.1 The Hecke algebra of W 55
4.2 Lusztig s relation 57
4.3 The basic representation of |) 62
4.4 The basic representation, continued 69
4.5 The basic representation, continued 73
4.6 The operators Yy 11
4.7 The double affine Hecke algebra 81
5 Orthogonal polynomials 85
5.1 The scalar product 85
5.2 The polynomials Ek 97
5.3 The symmetric polynomials / 102
5.4 The ^ modules Ak 108
5.5 Symmetrizers 112
5.6 Intertwiners 117
5.7 The polynomials P^ 120
5.8 Norms 125
5.9 Shift operators 137
5.10 Creation operators 141
6 The rank 1 case 148
6.1 Braid group and Hecke algebra (type A ) 148
6.2 The polynomials Em 150
6.3 The symmetric polynomials Pm 155
6.4 Braid group and Hecke algebra (type (C^, C,)) 159
6.5 The symmetric polynomials Pm 160
6.6 The polynomials Em 166
Bibliography 170
Index of notation 173
Index 175
|
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| dewey-ones | 512 - Algebra |
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| discipline | Mathematik |
| edition | 1. publ. |
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| id | DE-604.BV014640018 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:04:37Z |
| institution | BVB |
| isbn | 0521824729 |
| language | English |
| lccn | 2002031075 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009942614 |
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| owner_facet | DE-355 DE-BY-UBR DE-703 DE-11 DE-188 DE-384 |
| physical | IX, 175 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | Cambridge tracts in mathematics |
| series2 | Cambridge tracts in mathematics |
| spelling | Macdonald, Ian G. 1928- Verfasser (DE-588)123369258 aut Affine Hecke algebras and orthogonal polynomials I.G. Macdonald 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2003 IX, 175 S. txt rdacontent n rdamedia nc rdacarrier Cambridge tracts in mathematics 157 Includes bibliographical references (p. 170-172) and index Hecke, Algèbres de Polynômes orthogonaux Speciale functies (wiskunde) gtt Hecke algebras Orthogonal polynomials Orthogonale Polynome (DE-588)4172863-4 gnd rswk-swf Hecke-Algebra (DE-588)4159341-8 gnd rswk-swf Hecke-Algebra (DE-588)4159341-8 s Orthogonale Polynome (DE-588)4172863-4 s DE-604 Cambridge tracts in mathematics 157 (DE-604)BV000000001 157 http://www.loc.gov/catdir/description/cam031/2002031075.html Publisher description http://www.loc.gov/catdir/toc/cam031/2002031075.html Table of contents HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009942614&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Macdonald, Ian G. 1928- Affine Hecke algebras and orthogonal polynomials Cambridge tracts in mathematics Hecke, Algèbres de Polynômes orthogonaux Speciale functies (wiskunde) gtt Hecke algebras Orthogonal polynomials Orthogonale Polynome (DE-588)4172863-4 gnd Hecke-Algebra (DE-588)4159341-8 gnd |
| subject_GND | (DE-588)4172863-4 (DE-588)4159341-8 |
| title | Affine Hecke algebras and orthogonal polynomials |
| title_auth | Affine Hecke algebras and orthogonal polynomials |
| title_exact_search | Affine Hecke algebras and orthogonal polynomials |
| title_full | Affine Hecke algebras and orthogonal polynomials I.G. Macdonald |
| title_fullStr | Affine Hecke algebras and orthogonal polynomials I.G. Macdonald |
| title_full_unstemmed | Affine Hecke algebras and orthogonal polynomials I.G. Macdonald |
| title_short | Affine Hecke algebras and orthogonal polynomials |
| title_sort | affine hecke algebras and orthogonal polynomials |
| topic | Hecke, Algèbres de Polynômes orthogonaux Speciale functies (wiskunde) gtt Hecke algebras Orthogonal polynomials Orthogonale Polynome (DE-588)4172863-4 gnd Hecke-Algebra (DE-588)4159341-8 gnd |
| topic_facet | Hecke, Algèbres de Polynômes orthogonaux Speciale functies (wiskunde) Hecke algebras Orthogonal polynomials Orthogonale Polynome Hecke-Algebra |
| url | http://www.loc.gov/catdir/description/cam031/2002031075.html http://www.loc.gov/catdir/toc/cam031/2002031075.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009942614&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000001 |
| work_keys_str_mv | AT macdonaldiang affineheckealgebrasandorthogonalpolynomials |