Bialgebra cyclic homology with coefficients

Kaygun A.

K-THEORY, cilt.34, sa.2, ss.151-194, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 2
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1007/s10977-005-1501-7
  • Dergi Adı: K-THEORY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.151-194
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

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 g and H(N) the Hopf algebra of foliations of codimension N, with several coefficient modules.