INVESTIGADORES
FANTINO fernando Amado
artículos
Título:
On finite-dimensional copointed Hopf algebras over dihedral groups
Autor/es:
FANTINO, FERNANDO; GARCÍA, GASTÓN ANDRÉS; MASTNAK, MITJA
Revista:
JOURNAL OF PURE AND APPLIED ALGEBRA
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Año: 2019 vol. 223 p. 3611 - 3634
ISSN:
0022-4049
Resumen:
We classify all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero such that its coradical is isomorphic to the algebra of functions kDm over a dihedral group Dm, with m=4a≥12. We obtain this classification by means of the lifting method, where we use cohomology theory to determine all possible deformations. Our result provides an infinite family of new examples of finite-dimensional copointed Hopf algebras over dihedral groups.
