Special functions, KZ type equations, and representation theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
2003
|
| Series: | Regional Conference Series in Mathematics
98 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | VIII, 118 Seiten graph. Darst. |
| ISBN: | 0821828673 |
Staff View
MARC
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| 245 | 1 | 0 | |a Special functions, KZ type equations, and representation theory |c Alexander Varchenko |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2003 | |
| 300 | |a VIII, 118 Seiten |b graph. Darst. | ||
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Record in the Search Index
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| adam_text | Contents
Preface vii
Chapter 1. Hypergeometric Solutions of KZ Equations 1
1.1. Examples of Hypergeometric Integrals 1
1.2. Knizhnik Zamolodchikov Equations 3
1.3. Examples of Solutions 5
1.4. Solutions oftheKZ Equation with Values m Sing M®m[|m| 2fc] 6
1.5. Solutions of the KZ Equation with Values in Sing L®m[ m 2k] 8
1.6. The Classical Hypergeometric Series 8
1.7. Identities for Differential Forms 10
1.8. Hyperplane Arrangements 11
Chapter 2. Cycles of Integrals and the Monodromy of the KZ Equation 15
2.1. Cycles for Solutions in SingM®m m 2J 15
2.2. The Quantum Group Uq(sl2) 18
2.3. The Yang Baxter Equation and Representations of Braid
Groups 20
2.4. Quantum Singular Vectors 22
2.5. The Monodromy of KZ Equations 23
2.6. A Remark on Integration Cycles 29
Chapter 3. Selberg Integral, Determinant Formulas, and Dynamical
Equations 31
3.1. The Selberg Integral 31
3.2. A Connection with Finite Reflection Groups 32
3.3. An Example of a Determinant Formula 33
3.4. The Determinant Formula for Solutions in a Weight Subspace 36
3.5. General Determinant Formulas 38
3.6. Resonances 40
3.7. Dynamical Equations 43
Chapter 4. Critical Points of Master Functions and the Bethe Ansatz 49
4.1. The Gaudin Model and the Bethe Ansatz 49
4.2. Asymptotic Solutions and Eigenvectors 50
4.3. Quasi Classical Asymptotics of Solutions to the KZ Equation 53
4.4. The Shapovalov Norm of Bethe Vectors 56
|
| any_adam_object | 1 |
| author | Varčenko, Aleksandr N. 1949- |
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| dewey-full | 510 515.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 515 - Analysis |
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| discipline | Mathematik |
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| genre | (DE-588)1071861417 Konferenzschrift 2002 Baton Rouge La. gnd-content |
| genre_facet | Konferenzschrift 2002 Baton Rouge La. |
| id | DE-604.BV017648430 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:20:19Z |
| institution | BVB |
| isbn | 0821828673 |
| language | English |
| lccn | 2003062893 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010613532 |
| oclc_num | 615362104 |
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| physical | VIII, 118 Seiten graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Regional Conference Series in Mathematics |
| series2 | Regional Conference Series in Mathematics |
| spelling | Varčenko, Aleksandr N. 1949- Verfasser (DE-588)115203257 aut Special functions, KZ type equations, and representation theory Alexander Varchenko Providence, RI American Mathematical Society 2003 VIII, 118 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Regional Conference Series in Mathematics 98 Includes bibliographical references and index Spezielle Funktion (DE-588)4182213-4 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 2002 Baton Rouge La. gnd-content Spezielle Funktion (DE-588)4182213-4 s DE-604 Regional Conference Series in Mathematics 98 (DE-604)BV000004346 98 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010613532&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Varčenko, Aleksandr N. 1949- Special functions, KZ type equations, and representation theory Regional Conference Series in Mathematics Spezielle Funktion (DE-588)4182213-4 gnd |
| subject_GND | (DE-588)4182213-4 (DE-588)1071861417 |
| title | Special functions, KZ type equations, and representation theory |
| title_auth | Special functions, KZ type equations, and representation theory |
| title_exact_search | Special functions, KZ type equations, and representation theory |
| title_full | Special functions, KZ type equations, and representation theory Alexander Varchenko |
| title_fullStr | Special functions, KZ type equations, and representation theory Alexander Varchenko |
| title_full_unstemmed | Special functions, KZ type equations, and representation theory Alexander Varchenko |
| title_short | Special functions, KZ type equations, and representation theory |
| title_sort | special functions kz type equations and representation theory |
| topic | Spezielle Funktion (DE-588)4182213-4 gnd |
| topic_facet | Spezielle Funktion Konferenzschrift 2002 Baton Rouge La. |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010613532&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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