JournalsprimsVol. 27 , No. 5DOI 10.2977/prims/1195169268

Monodromy Representations for Generalized Knizhnik-Zamolodchikov Equations and Hecke Algebras

  • Ivan Cherednik

    Moscow State University, Russian Federation
Monodromy Representations for Generalized Knizhnik-Zamolodchikov Equations and Hecke Algebras cover

Abstract

In the paper generalizations of the Knizhnik-Zamolodchikov equation with symmetries in Weyl groups for arbitrary classical r-matrices are studied. Their monodromy representations are calculated explicitly in terms of Hecke algebras and affine Hecke algebras for basic examples.