Multidimensional hypergeometric functions and representation theory of lie algebras and quantum groups /
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| Author / Creator: | Varchenko, A. N. (Aleksandr Nikolaevich) |
|---|---|
| Imprint: | Singapore ; River Edge, N.J. : World Scientific, c1995. |
| Description: | ix, 371 p. : ill. ; 23 cm. |
| Language: | English |
| Series: | Advanced series in mathematical physics vol. 21 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/2687551 |
Table of Contents:
- 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.