Abstract
We classify finite-dimensional Hopf algebras whose coradical is isomorphic to the algebra of functions on 𝕊3. We describe a new infinite family of Hopf algebras of dimension 72.
2000 Mathematics Subject Classification:
ACKNOWLEDGMENT
N. A. thanks Margaret Beattie for conversations on this problem in St. John's, May 2008.
This work was partially supported by ANPCyT-Foncyt, CONICET, Ministerio de Ciencia y Tecnología (Córdoba) and Secyt (UNC). Part of the work of C. V. was done as a fellow of the Erasmus Mundus programme of the EU in the University of Antwerp. He thanks to Prof. Fred Van Oystaeyen for his warm hospitality and help.
Notes
Communicated by H.-J. Schneider.
Dedicated to Mia Cohen with affection.