Abstract:
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.
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Citas:
---------- APA ----------
(2000)
. Pointed Hopf algebras of dimension 32. Communications in Algebra, 28(6), 2935-2976.
http://dx.doi.org/10.1080/00927870008827002---------- CHICAGO ----------
Graña, M.
"Pointed Hopf algebras of dimension 32"
. Communications in Algebra 28, no. 6
(2000) : 2935-2976.
http://dx.doi.org/10.1080/00927870008827002---------- MLA ----------
Graña, M.
"Pointed Hopf algebras of dimension 32"
. Communications in Algebra, vol. 28, no. 6, 2000, pp. 2935-2976.
http://dx.doi.org/10.1080/00927870008827002---------- VANCOUVER ----------
Graña, M. Pointed Hopf algebras of dimension 32. Commun. Algebra. 2000;28(6):2935-2976.
http://dx.doi.org/10.1080/00927870008827002