Pointed hopf algebras of dimension 32
作者:
Matías Graña,
期刊:
Communications in Algebra
(Taylor Available online 2000)
卷期:
Volume 28,
issue 6
页码: 2935-2976
ISSN:0092-7872
年代: 2000
DOI:10.1080/00927870008827002
出版商: Gordon and Breach Science Publishers Ltd.
数据来源: Taylor
摘要:
We give a complete classification of the 32-dimensional pointed Hopf algebras over an algebraically closed field k with chark k ≠ 2. It turns out that there are infinite families of isomorphism classes of pointed Hopf algebras of dimension 32. In [AS1], [BDG] and [Ge] are given families of counterexamples for the tenth Kaplansky conjecture. Up to now, 32 is the lowest dimension where Kaplansky conjecture fails.
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