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Quantum algebra structure of certain Jackson integrals

Authors
  • Matsuo, A.
Publication Date
Jan 01, 1993
Identifiers
DOI: 10.1007/BF02096880
OAI: oai:inspirehep.net:365367
Source
INSPIRE-HEP
License
Unknown
External links

Abstract

Theq-difference system satisfied by Jackson integrals with a configuration ofA-type root system is studied. We explicitly construct some linear combination of Jackson integrals, which satisfies the quantum Knizhnik-Zamolodchikov equation for the 2-point correlation function ofq-vertex operators, introduced by Frenkel and Reshetikhin, for the quantum affine algebra\(U_q (\widehat{\mathfrak{s}\mathfrak{l}}_2 )\). The expression of integrands for then-point case is conjectured, and a set of linear relations for the corresponding Jackson integrals is proved.

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