Affine lie algebras and quantum groups : an introduction, with applications in conformal field theory /
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| Author / Creator: | Fuchs, Jurgen A. |
|---|---|
| Imprint: | Cambridge ; New York : Cambridge University Press, 1992. |
| Description: | xiv, 433 p. : ill. ; 25 cm. |
| Language: | English |
| Series: | Cambridge monographs on mathematical physics Cambridge monographs on mathematical physics |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/1384506 |
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| 100 | 1 | |a Fuchs, Jurgen A. |1 http://viaf.org/viaf/19759712 | |
| 245 | 1 | 0 | |a Affine lie algebras and quantum groups : |b an introduction, with applications in conformal field theory / |c Jurgen A. Fuchs. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 1992. | ||
| 263 | |a 9202 | ||
| 300 | |a xiv, 433 p. : |b ill. ; |c 25 cm. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
| 337 | |a unmediated |b n |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/n | ||
| 338 | |a volume |b nc |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/nc | ||
| 440 | 0 | |a Cambridge monographs on mathematical physics | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |g 1. |t Semisimple Lie Algebras. |g 1.1. |t Basic concepts. |g 1.2. |t Representations and modules. |g 1.3. |t The Killing form. Real and complex Lie algebras. |g 1.4. |t The Cartan-Weyl basis. |g 1.5. |t Classification of simple Lie algebras. |g 1.6. |t Highest weight modules. |g 1.7. |t The Weyl group. Characters. |g 1.8. |t Branching rules. |g 1.9. |t Literature -- |g 2. |t Affine Lie algebras. |g 2.1. |t Classification of Kac-Moody algebras. |g 2.2. |t Loop algebras and central extensions. |g 2.3. |t The root system. |g 2.4. |t Highest height modules. |g 2.5. |t Null vectors. |g 2.6. |t The Weyl group. Characters. |g 2.7. |t Modular transformations. |g 2.8. |t Branching rules. |g 2.9. |t Literature -- |g 3. |t WZW theories. |g 3.1. |t Operator products. |g 3.2. |t The Sugawara construction. |g 3.3. |t Conformal field theory. |g 3.4. |t The Knizhnik-Zamolodchikov equation. |g 3.5. |t The Gepner-Witten equation. |g 3.6. |t Free fermions. |g 3.7. |t Quantum equivalence. |g 3.8. |t Conformal embeddings. |g 3.9. |t Literature -- |g 4. |t Quantum groups. |g 4.1. |t Hopf algebras. |g 4.2. |t Deformations of enveloping algebras. |g 4.3. |t Representation theory. |g 4.4. |t Quantum dimensions. |g 4.5. |t The truncated Kronecker product. |g 4.6. |t R-matrices. |g 4.7. |t Quantized groups. |g 4.8. |t Affine Lie algebras and quantum groups. |g 4.9. |t Literature -- |g 5. |t Duality, fusion rules, and modular invariance. |g 5.1. |t Fusion rule algebras. |g 5.2. |t Modular invariance. |g 5.3. |t Fusion rules and modular transformations. |g 5.4. |t Modular invariants. |g 5.5. |t WZW fusion rules and truncated tensor products. |g 5.6. |t Chiral blocks. |g 5.7. |t Fusing and braiding. |g 5.8. |t Screened vertex operators and quantum groups. |g 5.9. |t Literature. |
| 650 | 0 | |a Quantum groups |0 http://id.loc.gov/authorities/subjects/sh90005801 | |
| 650 | 0 | |a Geometry, Affine |0 http://id.loc.gov/authorities/subjects/sh85054139 | |
| 650 | 0 | |a Lie algebras |0 http://id.loc.gov/authorities/subjects/sh85076782 | |
| 653 | 0 | |a Mathematics | |
| 650 | 7 | |a Conformal invariants. |2 fast |0 http://id.worldcat.org/fast/fst00875030 | |
| 650 | 7 | |a Lie algebras. |2 fast |0 http://id.worldcat.org/fast/fst00998125 | |
| 650 | 7 | |a Mathematical physics. |2 fast |0 http://id.worldcat.org/fast/fst01012104 | |
| 650 | 7 | |a Quantum field theory. |2 fast |0 http://id.worldcat.org/fast/fst01085105 | |
| 650 | 7 | |a Quantum groups. |2 fast |0 http://id.worldcat.org/fast/fst01085113 | |
| 830 | 0 | |a Cambridge monographs on mathematical physics |0 http://id.loc.gov/authorities/names/n42005691 | |
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| 928 | |t Library of Congress classification |a QA477.F834 1992 |l Eck |c Eck-Eck |i 2810383 | ||
| 927 | |t Library of Congress classification |a QA477.F834 1992 |l Eck |c Eck-Eck |b 37120039 |i 2740241 | ||