CIEM   05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
On pointed Hopf algebras associated with the symmetric groups
Autor/es:
NICOLÁS ANDRUSKIEWITSCH, FERNANDO FANTINO AND S. ZHANG
Revista:
MANUSCRIPTA MATHEMATICA
Editorial:
Springer
Referencias:
Año: 2008
ISSN:
0025-2611
Resumen:
Let G be the symmetric group S_m. It is an important open problem whether the dimension of the Nichols algebra B(O, ρ) is finite when O is the class of the transpositions and ρ is the sign representation, with m ≥ 6. In the present paper, we discard most of the other conjugacy classes showing that very few pairs (O, ρ) might give rise to finite-dimensional Nichols algebras.