Multidimensional hypergeometric functions and representation theory of Lie algebras and quantum groups
A. Varchenko.
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.
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.
Kategorien:
Jahr:
1995
Verlag:
World Scientific
Sprache:
english
Seiten:
371
ISBN 10:
981021880X
ISBN 13:
9789810218805
Serien:
Advanced series in mathematical physics, v. 21.
Datei:
PDF, 11.25 MB
IPFS:
,
english, 1995