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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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