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Multidimensional hypergeometric functions and representation theory of lie algebras and quantum groups
This book recounts the connections between multidimensional hypergeometric functions and representation theory. In 1984, physicists Knizhnik and Zamolodchikov discovered a fundamental differential equation describing correlation functions in conformal field theory. The equation is defined in terms o...
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| Lenguaje: | eng |
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World Scientific
1995
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| Acceso en línea: | http://cds.cern.ch/record/475335 |
| _version_ | 1780896636570959872 |
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| author | Varchenko, A N |
| author_facet | Varchenko, A N |
| author_sort | Varchenko, A N |
| collection | CERN |
| description | This book recounts the connections between multidimensional hypergeometric functions and representation theory. In 1984, physicists Knizhnik and Zamolodchikov discovered a fundamental differential equation describing correlation functions in conformal field theory. The equation is defined in terms of a Lie algebra. Kohno and Drinfeld found that the monodromy of the differential equation is described in terms of the quantum group associated with the Lie algebra. It turns out that this phenomenon is the tip of the iceberg. The Knizhnik-Zamolodchikov differential equation is solved in multidimens |
| id | cern-475335 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 1995 |
| publisher | World Scientific |
| record_format | invenio |
| spelling | cern-4753352021-04-22T02:57:43Zhttp://cds.cern.ch/record/475335engVarchenko, A NMultidimensional hypergeometric functions and representation theory of lie algebras and quantum groupsMathematical Physics and MathematicsThis book recounts the connections between multidimensional hypergeometric functions and representation theory. In 1984, physicists Knizhnik and Zamolodchikov discovered a fundamental differential equation describing correlation functions in conformal field theory. The equation is defined in terms of a Lie algebra. Kohno and Drinfeld found that the monodromy of the differential equation is described in terms of the quantum group associated with the Lie algebra. It turns out that this phenomenon is the tip of the iceberg. The Knizhnik-Zamolodchikov differential equation is solved in multidimensWorld Scientificoai:cds.cern.ch:4753351995 |
| spellingShingle | Mathematical Physics and Mathematics Varchenko, A N Multidimensional hypergeometric functions and representation theory of lie algebras and quantum groups |
| title | Multidimensional hypergeometric functions and representation theory of lie algebras and quantum groups |
| title_full | Multidimensional hypergeometric functions and representation theory of lie algebras and quantum groups |
| title_fullStr | Multidimensional hypergeometric functions and representation theory of lie algebras and quantum groups |
| title_full_unstemmed | Multidimensional hypergeometric functions and representation theory of lie algebras and quantum groups |
| title_short | Multidimensional hypergeometric functions and representation theory of lie algebras and quantum groups |
| title_sort | multidimensional hypergeometric functions and representation theory of lie algebras and quantum groups |
| topic | Mathematical Physics and Mathematics |
| url | http://cds.cern.ch/record/475335 |
| work_keys_str_mv | AT varchenkoan multidimensionalhypergeometricfunctionsandrepresentationtheoryofliealgebrasandquantumgroups |