INVESTIGADORES
VAY Cristian Damian
artículos
Título:
On a family of Hopf algebras of dimension 72
Autor/es:
ANDRUSKIEWITSCH, NICOLÁS; VAY, CRISTIAN
Revista:
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN
Editorial:
BELGIAN MATHEMATICAL SOC TRIOMPHE
Referencias:
Año: 2012 vol. 19 p. 415 - 443
ISSN:
1370-1444
Resumen:
We investigate a family of Hopf algebras of dimension 72 whose coradical is isomorphic to the algebra of functions on S_3. We determine the lattice of submodules of the so-called Verma modules and as a consequence we classify all simple modules. We show that these Hopf algebras are unimodular (as well as their duals) but not quasitriangular; also, they are cocycle deformations of each other.