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nexusstc/Multidimensional hypergeometric functions and representation theory of Lie algebras and quantum groups/cf7edf4762874fa0a52ba98093146f9c.pdf
Multidimensional hypergeometric functions and representation theory of Lie algebras and quantum groups 🔍
Alexander Varchenko World Scientific Publishing Co Pte Ltd, Advanced series in mathematical physics ;, v. 21, Singapore, River Edge, N.J, Singapore, 1995
英语 [en] · PDF · 11.8MB · 1995 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/zlib · Save
描述
1. Introduction --
2. Construction of complexes calculating homology of the complement of a configuration --
3. Construction of homology complexes for discriminantal configuration --
4. Algebraic interpretation of chain complexes of a discriminantal configuration --
5. Quasiisomorphism of two-sided Hochschild complexes to suitable one-sided Hochschild complexes --
6. Bundle properties of a discriminantal configuration --
7. R-matrix for the two-sided Hochschild complexes --
8. Monodromy --
9. R-matrix operator as the canonical element, quantum doubles --
10. Hypergeometric integrals --
11. Kac-Moody Lie algebras without Serre's relations and their doubles --
12. Hypergeometric integrals of a discriminantal configuration --
13. Resonances at infinity --
14. Degenerations of discriminantal configurations --
15. Remarks on homology groups of a configuration with coefficients in local systems more general than complex one-dimensional.
备用文件名
lgli/Varchenko A. Multidimensional Hypergeometric Functions The Representation Theory Of Lie Algebras And Quantum Groups (Wspc, 1995)(ISBN 981021880X)(O)(371s).pdf
备用文件名
lgrsnf/Varchenko A. Multidimensional Hypergeometric Functions The Representation Theory Of Lie Algebras And Quantum Groups (Wspc, 1995)(ISBN 981021880X)(O)(371s).pdf
备用文件名
zlib/Physics/A. Varchenko./Multidimensional hypergeometric functions and representation theory of Lie algebras and quantum groups_1316597.pdf
备选标题
Multidimensional Hypergeometric Functions The Representation Theory Of Lie Algebras And Quantum Groups
备选作者
Aleksandr Nikolaevich Varchenko
备用版本
World Scientific Publishing Company, Singapore, 1995
元数据中的注释
0
元数据中的注释
lg874538
元数据中的注释
{"isbns":["9789810218805","981021880X"],"last_page":371,"publisher":"World Scientific","series":"Advanced series in mathematical physics, v. 21."}
元数据中的注释
Bibliographical references: p. 367-371.
备用描述
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 multidimensional hypergeometric functions, and the hypergeometric functions yield the connection between the representation theories of Lie algebras and quantum groups. The topics presented in this book are not adequately covered in periodicals.
备用描述
A review of the connections between multidimensional hypergeometric functions and representation theory illustrated by the solution of the Knizhnik-Zamolodchikov differential equation.
开源日期
2012-12-30
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