Calabi-Yau pointed Hopf algebras of finite Cartan type

Abstract

We study the Calabi-Yau property of pointed Hopf algebra $U(\mc{D},\lmd)$ 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 Calabi-Yau Hopf algebras, we classify the Calabi-Yau pointed Hopf algebras $U(\mc{D},\lmd)$ of dimension less than 5.

42 pages, introduction slightly revised

References in corpus (2)

• Calabi-Yau algebras
• Noetherian Hopf algebras

Cited by in corpus (2)

• Skew Calabi-Yau Algebras and Homological Identities
• The Calabi-Yau property of Hopf algebras and braided Hopf algebras