Quantum groups and Lie theory:
Since its genesis in the early 1980s, the subject of quantum groups has grown rapidly. By the late 1990s most of the foundational issues had been resolved and many of the outstanding problems clearly formulated. To take stock and to discuss the most fruitful directions for future research many of th...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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2002
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| Schriftenreihe: | London Mathematical Society lecture note series
290 |
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| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Since its genesis in the early 1980s, the subject of quantum groups has grown rapidly. By the late 1990s most of the foundational issues had been resolved and many of the outstanding problems clearly formulated. To take stock and to discuss the most fruitful directions for future research many of the world's leading figures in this area met at the Durham Symposium on Quantum Groups in the summer of 1999, and this volume provides an excellent overview of the material presented there. It includes important surveys of both cyclotomic Hecke algebras and the dynamical Yang-Baxter equation. Plus contributions which treat the construction and classification of quantum groups or the associated solutions of the quantum Yang-Baxter equation. The representation theory of quantum groups is discussed, as is the function algebra approach to quantum groups, and there is a new look at the origins of quantum groups in the theory of integrable systems |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (viii, 234 pages) |
| ISBN: | 9780511542848 |
| DOI: | 10.1017/CBO9780511542848 |
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| 505 | 8 | |a Lectures on cyclotomic Hecke algebras / Susumu Ariki -- An introduction to group doublecross products and some uses / Edwin Beggs -- Canonical bases and piecewise-linear combinatorics / Roger Carter & Robert Marsh -- Integrable and Weyl modules for quantum affine sl₂ / Vyjayanthi Chari & Andrew Pressley -- Notes on balanced categories and Hopf algebras / Bernhard Drabant -- Lectures on the dynamical Yang-Baxter equations / Pavel Etinghof & Olivier Schiffmann -- Quantized primitive ideal spaces as quotients of affine algebraic varieties / K.R. Goodearl -- Representations of semisimple Lie algebras in positive characteristic and quantum groups at roots of unity / Iain Gordon -- The Yang-Baxter equation for operators on function fields / Jintai Ding & Timothy J. Hodges -- Noncommutative differential geometry and twisting of quantum groups / Shahn Majid -- Finite quantum groups and pointed Hopf algebras / Ian M. Musson -- On some two parameter quantum and Jordanian deformations, and their coloured extensions / Deepak Parashar & Roger J. McDermott -- Tensor categories and Braid reprentations / Hans Wenzl | |
| 520 | |a Since its genesis in the early 1980s, the subject of quantum groups has grown rapidly. By the late 1990s most of the foundational issues had been resolved and many of the outstanding problems clearly formulated. To take stock and to discuss the most fruitful directions for future research many of the world's leading figures in this area met at the Durham Symposium on Quantum Groups in the summer of 1999, and this volume provides an excellent overview of the material presented there. It includes important surveys of both cyclotomic Hecke algebras and the dynamical Yang-Baxter equation. Plus contributions which treat the construction and classification of quantum groups or the associated solutions of the quantum Yang-Baxter equation. The representation theory of quantum groups is discussed, as is the function algebra approach to quantum groups, and there is a new look at the origins of quantum groups in the theory of integrable systems | ||
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Datensatz im Suchindex
| _version_ | 1804176892759113728 |
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| any_adam_object | |
| author2 | Pressley, Andrew |
| author2_role | edt |
| author2_variant | a p ap |
| author_corporate | LMS Durham Symposium on Quantum Groups <1999, Grey College, University of Durham> |
| author_corporate_role | aut |
| author_facet | Pressley, Andrew LMS Durham Symposium on Quantum Groups <1999, Grey College, University of Durham> |
| author_sort | LMS Durham Symposium on Quantum Groups <1999, Grey College, University of Durham> |
| building | Verbundindex |
| bvnumber | BV043945989 |
| classification_rvk | SK 340 |
| collection | ZDB-20-CBO |
| contents | Lectures on cyclotomic Hecke algebras / Susumu Ariki -- An introduction to group doublecross products and some uses / Edwin Beggs -- Canonical bases and piecewise-linear combinatorics / Roger Carter & Robert Marsh -- Integrable and Weyl modules for quantum affine sl₂ / Vyjayanthi Chari & Andrew Pressley -- Notes on balanced categories and Hopf algebras / Bernhard Drabant -- Lectures on the dynamical Yang-Baxter equations / Pavel Etinghof & Olivier Schiffmann -- Quantized primitive ideal spaces as quotients of affine algebraic varieties / K.R. Goodearl -- Representations of semisimple Lie algebras in positive characteristic and quantum groups at roots of unity / Iain Gordon -- The Yang-Baxter equation for operators on function fields / Jintai Ding & Timothy J. Hodges -- Noncommutative differential geometry and twisting of quantum groups / Shahn Majid -- Finite quantum groups and pointed Hopf algebras / Ian M. Musson -- On some two parameter quantum and Jordanian deformations, and their coloured extensions / Deepak Parashar & Roger J. McDermott -- Tensor categories and Braid reprentations / Hans Wenzl |
| ctrlnum | (ZDB-20-CBO)CR9780511542848 (OCoLC)850699273 (DE-599)BVBBV043945989 |
| dewey-full | 530.15/255 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15/255 |
| dewey-search | 530.15/255 |
| dewey-sort | 3530.15 3255 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1017/CBO9780511542848 |
| format | Electronic eBook |
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| isbn | 9780511542848 |
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| spelling | LMS Durham Symposium on Quantum Groups <1999, Grey College, University of Durham> Verfasser aut Quantum groups and Lie theory edited by Andrew Pressley Quantum Groups & Lie Theory Cambridge Cambridge University Press 2002 1 online resource (viii, 234 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 290 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Lectures on cyclotomic Hecke algebras / Susumu Ariki -- An introduction to group doublecross products and some uses / Edwin Beggs -- Canonical bases and piecewise-linear combinatorics / Roger Carter & Robert Marsh -- Integrable and Weyl modules for quantum affine sl₂ / Vyjayanthi Chari & Andrew Pressley -- Notes on balanced categories and Hopf algebras / Bernhard Drabant -- Lectures on the dynamical Yang-Baxter equations / Pavel Etinghof & Olivier Schiffmann -- Quantized primitive ideal spaces as quotients of affine algebraic varieties / K.R. Goodearl -- Representations of semisimple Lie algebras in positive characteristic and quantum groups at roots of unity / Iain Gordon -- The Yang-Baxter equation for operators on function fields / Jintai Ding & Timothy J. Hodges -- Noncommutative differential geometry and twisting of quantum groups / Shahn Majid -- Finite quantum groups and pointed Hopf algebras / Ian M. Musson -- On some two parameter quantum and Jordanian deformations, and their coloured extensions / Deepak Parashar & Roger J. McDermott -- Tensor categories and Braid reprentations / Hans Wenzl Since its genesis in the early 1980s, the subject of quantum groups has grown rapidly. By the late 1990s most of the foundational issues had been resolved and many of the outstanding problems clearly formulated. To take stock and to discuss the most fruitful directions for future research many of the world's leading figures in this area met at the Durham Symposium on Quantum Groups in the summer of 1999, and this volume provides an excellent overview of the material presented there. It includes important surveys of both cyclotomic Hecke algebras and the dynamical Yang-Baxter equation. Plus contributions which treat the construction and classification of quantum groups or the associated solutions of the quantum Yang-Baxter equation. The representation theory of quantum groups is discussed, as is the function algebra approach to quantum groups, and there is a new look at the origins of quantum groups in the theory of integrable systems Mathematische Physik Quantum groups / Congresses Lie groups / Congresses Mathematical physics / Congresses Quantengruppe (DE-588)4252437-4 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Quantengruppe (DE-588)4252437-4 s Lie-Gruppe (DE-588)4035695-4 s Mathematische Physik (DE-588)4037952-8 s 1\p DE-604 Pressley, Andrew edt Erscheint auch als Druckausgabe 978-0-521-01040-5 https://doi.org/10.1017/CBO9780511542848 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Quantum groups and Lie theory Lectures on cyclotomic Hecke algebras / Susumu Ariki -- An introduction to group doublecross products and some uses / Edwin Beggs -- Canonical bases and piecewise-linear combinatorics / Roger Carter & Robert Marsh -- Integrable and Weyl modules for quantum affine sl₂ / Vyjayanthi Chari & Andrew Pressley -- Notes on balanced categories and Hopf algebras / Bernhard Drabant -- Lectures on the dynamical Yang-Baxter equations / Pavel Etinghof & Olivier Schiffmann -- Quantized primitive ideal spaces as quotients of affine algebraic varieties / K.R. Goodearl -- Representations of semisimple Lie algebras in positive characteristic and quantum groups at roots of unity / Iain Gordon -- The Yang-Baxter equation for operators on function fields / Jintai Ding & Timothy J. Hodges -- Noncommutative differential geometry and twisting of quantum groups / Shahn Majid -- Finite quantum groups and pointed Hopf algebras / Ian M. Musson -- On some two parameter quantum and Jordanian deformations, and their coloured extensions / Deepak Parashar & Roger J. McDermott -- Tensor categories and Braid reprentations / Hans Wenzl Mathematische Physik Quantum groups / Congresses Lie groups / Congresses Mathematical physics / Congresses Quantengruppe (DE-588)4252437-4 gnd Mathematische Physik (DE-588)4037952-8 gnd Lie-Gruppe (DE-588)4035695-4 gnd |
| subject_GND | (DE-588)4252437-4 (DE-588)4037952-8 (DE-588)4035695-4 (DE-588)1071861417 |
| title | Quantum groups and Lie theory |
| title_alt | Quantum Groups & Lie Theory |
| title_auth | Quantum groups and Lie theory |
| title_exact_search | Quantum groups and Lie theory |
| title_full | Quantum groups and Lie theory edited by Andrew Pressley |
| title_fullStr | Quantum groups and Lie theory edited by Andrew Pressley |
| title_full_unstemmed | Quantum groups and Lie theory edited by Andrew Pressley |
| title_short | Quantum groups and Lie theory |
| title_sort | quantum groups and lie theory |
| topic | Mathematische Physik Quantum groups / Congresses Lie groups / Congresses Mathematical physics / Congresses Quantengruppe (DE-588)4252437-4 gnd Mathematische Physik (DE-588)4037952-8 gnd Lie-Gruppe (DE-588)4035695-4 gnd |
| topic_facet | Mathematische Physik Quantum groups / Congresses Lie groups / Congresses Mathematical physics / Congresses Quantengruppe Lie-Gruppe Konferenzschrift |
| url | https://doi.org/10.1017/CBO9780511542848 |
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