INVESTIGADORES
FANTINO fernando Amado
artículos
Título:
On pointed Hopf algebras associated with alternating and dihedral groups
Autor/es:
NICOLÁS ANDRUSKIEWITSCH Y FERNANDO FANTINO
Revista:
REVISTA DE LA UNIóN MATEMáTICA ARGENTINA
Editorial:
Unión Matemática Argentina
Referencias:
Lugar: Bahía Blanca; Año: 2007 vol. 48 p. 57 - 71
ISSN:
0041-6932
Resumen:
We classify finite-dimensional complex pointed Hopf algebra withgroup of group-like elements isomorphic to $mathbb A_5$. We show that any pointed Hopf algebra with infinitesimal braiding associatedwith the conjugacy class of $pi in mathbb A_n$ is infinite-dimensionalif the order of $pi$ is odd except for $pi=(1  2  3)$ in $mathbb A_4$. We also study pointed Hopf algebras over the dihedral groups.