Bialgebra cyclic homology with coefficients

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20 Citations (Scopus)

Abstract

We show that one can extend the definition of Hopf cyclic homology with coefficients such that one can use bialgebras and a larger class of coefficient module/co-modules. With the help of this extension, we calculate the bialgebra cyclic homology of U q (g) the quantum deformation of an arbitrary semi-simple Lie algebra and g and H(N) the Hopf algebra of foliations of codimension N, with several coefficient modules.

Original languageEnglish
Pages (from-to)151-194
Number of pages44
JournalK-Theory
Volume34
Issue number2
DOIs
Publication statusPublished - Feb 2005
Externally publishedYes

Keywords

  • Cyclic homology
  • Foliations
  • Hopf algebras
  • Quantum groups

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