Pointed Hopf algebras of dimension 32
We give a complete classification of the 32-dimensional pointed Hopf algebras over an algebraically closed field k with char 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 counterexa...
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2000
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v28_n6_p2935_Grana http://hdl.handle.net/20.500.12110/paper_00927872_v28_n6_p2935_Grana |
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paper:paper_00927872_v28_n6_p2935_Grana2023-06-08T15:08:18Z Pointed Hopf algebras of dimension 32 Graña, Matías Alejo We give a complete classification of the 32-dimensional pointed Hopf algebras over an algebraically closed field k with char 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. Fil:Graña, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2000 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v28_n6_p2935_Grana http://hdl.handle.net/20.500.12110/paper_00927872_v28_n6_p2935_Grana |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
We give a complete classification of the 32-dimensional pointed Hopf algebras over an algebraically closed field k with char 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. |
| author |
Graña, Matías Alejo |
| spellingShingle |
Graña, Matías Alejo Pointed Hopf algebras of dimension 32 |
| author_facet |
Graña, Matías Alejo |
| author_sort |
Graña, Matías Alejo |
| title |
Pointed Hopf algebras of dimension 32 |
| title_short |
Pointed Hopf algebras of dimension 32 |
| title_full |
Pointed Hopf algebras of dimension 32 |
| title_fullStr |
Pointed Hopf algebras of dimension 32 |
| title_full_unstemmed |
Pointed Hopf algebras of dimension 32 |
| title_sort |
pointed hopf algebras of dimension 32 |
| publishDate |
2000 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v28_n6_p2935_Grana http://hdl.handle.net/20.500.12110/paper_00927872_v28_n6_p2935_Grana |
| work_keys_str_mv |
AT granamatiasalejo pointedhopfalgebrasofdimension32 |
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1768541931468488704 |