Calabi-Yau pointed Hopf algebras of finite Cartan type

Details Calabi-Yau pointed Hopf algebras of finite Cartan type Calabi-Yau pointed Hopf algebras of finite Cartan type

2011-11-14

arxiv.org/abs/1111.3342v2

Mathematics

Quantum Algebra

42 pages, introduction slightly revised

Scientific paper

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.

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