JournalsjncgVol. 7, No. 4pp. 1105–1144

Calabi-Yau pointed Hopf algebras of finite Cartan type

  • Xiaolan Yu

    Hangzhou Normal University, China
  • Yinhuo Zhang

    University of Hasselt, Diepenbeek, Belgium
Calabi-Yau pointed Hopf algebras of finite Cartan type cover
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Abstract

We study the Calabi–Yau property of pointed Hopf algebra U(D,λ)U(\mathcal{D},\lambda) of finite Cartan type. It turns out that this class of pointed Hopf algebras constructed by N. Andruskiewitsch and H.-J. Schneider contains many Calabi–Yau Hopf algebras. To give concrete examples of new Calab–Yau Hopf algebras, we classify the Calabi–Yau pointed Hopf algebras U(D,λ)U(\mathcal{D},\lambda) of dimension less than 5.

Cite this article

Xiaolan Yu, Yinhuo Zhang, Calabi-Yau pointed Hopf algebras of finite Cartan type. J. Noncommut. Geom. 7 (2013), no. 4, pp. 1105–1144

DOI 10.4171/JNCG/144