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9789810218805

Multidimensional Hypergeometric Functions and Representation Theory of Lie Algebras and Quantum Groups

by
  • ISBN13:

    9789810218805

  • ISBN10:

    981021880X

  • Format: Hardcover
  • Copyright: 1995-06-01
  • Publisher: World Scientific Pub Co Inc
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Table of Contents

Introductionp. 1
Construction of complexes calculating homology of the complement of a configurationp. 15
Construction of homology complexes for discriminantal configurationp. 39
Algebraic interpretation of chain complexes of a discriminantal configurationp. 67
Quasiisomorphism of two-sided Hochschild complexes to suitable one-sided Hochschild complexesp. 93
Bundle properties of a discriminantal configurationp. 145
R-matrix for the two-sided Hochschild complexesp. 155
Monodromyp. 171
R-matrix operator as the canonical element, quantum doublesp. 197
Hypergeometric integralsp. 215
Kac-Moody Lie algebras without Serre's relations and their doublesp. 247
Hypergeometric integrals of a discriminantal configurationp. 265
Resonances at infinityp. 295
Degenerations of discriminantal configurationsp. 329
Remarks on homology groups of a configuration with coefficients in local systems more general than complex one-dimensionalp. 347
Referencesp. 367
Table of Contents provided by Blackwell. All Rights Reserved.

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