Quantum Groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1995
|
| Schriftenreihe: | Graduate Texts in Mathematics
155 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | {( Eh bien, Monsieur, que pensez-vous des x et des y ?» Je lui ai repondu : {( C'est bas de plafond. » V. Hugo [Hug51] The term "quantum groups" was popularized by Drinfeld in his address to the International Congress of Mathematicians in Berkeley (1986). It stands for certain special Hopf algebras which are nontrivial deformations of the enveloping Hopf algebras of semisimple Lie algebras or of the algebras of regular functions on the corresponding algebraic groups. As was soon ob served, quantum groups have close connections with varied, a priori remote, areas of mathematics and physics. The aim of this book is to provide an introduction to the algebra behind the words "quantum groups" with emphasis on the fascinating and spec tacular connections with low-dimensional topology. Despite the complexity of the subject, we have tried to make this exposition accessible to a large audience. We assume a standard knowledge of linear algebra and some rudiments of topology (and of the theory of linear differential equations as far as Chapter XIX is concerned) |
| Beschreibung: | 1 Online-Ressource (XII, 534 p) |
| ISBN: | 9781461207832 9781461269007 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-0783-2 |
Internformat
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| 500 | |a {( Eh bien, Monsieur, que pensez-vous des x et des y ?» Je lui ai repondu : {( C'est bas de plafond. » V. Hugo [Hug51] The term "quantum groups" was popularized by Drinfeld in his address to the International Congress of Mathematicians in Berkeley (1986). It stands for certain special Hopf algebras which are nontrivial deformations of the enveloping Hopf algebras of semisimple Lie algebras or of the algebras of regular functions on the corresponding algebraic groups. As was soon ob served, quantum groups have close connections with varied, a priori remote, areas of mathematics and physics. The aim of this book is to provide an introduction to the algebra behind the words "quantum groups" with emphasis on the fascinating and spec tacular connections with low-dimensional topology. Despite the complexity of the subject, we have tried to make this exposition accessible to a large audience. We assume a standard knowledge of linear algebra and some rudiments of topology (and of the theory of linear differential equations as far as Chapter XIX is concerned) | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Kassel, Christian |
| author_facet | Kassel, Christian |
| author_role | aut |
| author_sort | Kassel, Christian |
| author_variant | c k ck |
| building | Verbundindex |
| bvnumber | BV042419625 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0783-2 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
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| isbn | 9781461207832 9781461269007 |
| issn | 0072-5285 |
| language | English |
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| spelling | Kassel, Christian Verfasser aut Quantum Groups by Christian Kassel New York, NY Springer New York 1995 1 Online-Ressource (XII, 534 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 155 0072-5285 {( Eh bien, Monsieur, que pensez-vous des x et des y ?» Je lui ai repondu : {( C'est bas de plafond. » V. Hugo [Hug51] The term "quantum groups" was popularized by Drinfeld in his address to the International Congress of Mathematicians in Berkeley (1986). It stands for certain special Hopf algebras which are nontrivial deformations of the enveloping Hopf algebras of semisimple Lie algebras or of the algebras of regular functions on the corresponding algebraic groups. As was soon ob served, quantum groups have close connections with varied, a priori remote, areas of mathematics and physics. The aim of this book is to provide an introduction to the algebra behind the words "quantum groups" with emphasis on the fascinating and spec tacular connections with low-dimensional topology. Despite the complexity of the subject, we have tried to make this exposition accessible to a large audience. We assume a standard knowledge of linear algebra and some rudiments of topology (and of the theory of linear differential equations as far as Chapter XIX is concerned) Mathematics K-theory Quantum theory K-Theory Quantum Physics Quantum Information Technology, Spintronics Mathematik Quantentheorie Quantengruppe (DE-588)4252437-4 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Hopf-Algebra (DE-588)4160646-2 gnd rswk-swf Topologie (DE-588)4060425-1 gnd rswk-swf Quantengruppe (DE-588)4252437-4 s 1\p DE-604 Lie-Algebra (DE-588)4130355-6 s 2\p DE-604 Topologie (DE-588)4060425-1 s 3\p DE-604 Hopf-Algebra (DE-588)4160646-2 s 4\p DE-604 https://doi.org/10.1007/978-1-4612-0783-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kassel, Christian Quantum Groups Mathematics K-theory Quantum theory K-Theory Quantum Physics Quantum Information Technology, Spintronics Mathematik Quantentheorie Quantengruppe (DE-588)4252437-4 gnd Lie-Algebra (DE-588)4130355-6 gnd Hopf-Algebra (DE-588)4160646-2 gnd Topologie (DE-588)4060425-1 gnd |
| subject_GND | (DE-588)4252437-4 (DE-588)4130355-6 (DE-588)4160646-2 (DE-588)4060425-1 |
| title | Quantum Groups |
| title_auth | Quantum Groups |
| title_exact_search | Quantum Groups |
| title_full | Quantum Groups by Christian Kassel |
| title_fullStr | Quantum Groups by Christian Kassel |
| title_full_unstemmed | Quantum Groups by Christian Kassel |
| title_short | Quantum Groups |
| title_sort | quantum groups |
| topic | Mathematics K-theory Quantum theory K-Theory Quantum Physics Quantum Information Technology, Spintronics Mathematik Quantentheorie Quantengruppe (DE-588)4252437-4 gnd Lie-Algebra (DE-588)4130355-6 gnd Hopf-Algebra (DE-588)4160646-2 gnd Topologie (DE-588)4060425-1 gnd |
| topic_facet | Mathematics K-theory Quantum theory K-Theory Quantum Physics Quantum Information Technology, Spintronics Mathematik Quantentheorie Quantengruppe Lie-Algebra Hopf-Algebra Topologie |
| url | https://doi.org/10.1007/978-1-4612-0783-2 |
| work_keys_str_mv | AT kasselchristian quantumgroups |