68 citations · 183 across the 14 of their papers we have counts for
3 papers · 2 filters
Finite-dimensional pointed Hopf algebras with alternating groups are trivial
N. Andruskiewitsch, F. Fantino, M. Graña +1
It is shown that Nichols algebras over alternating groups A_m, m>4, are infinite dimensional. This proves that any complex finite dimensional pointed Hopf algebra with group of gro…
On pointed Hopf algebras associated with the symmetric groups
Nicolás Andruskiewitsch, Fernando Fantino, Shouchuan Zhang
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 ρis the sign representation, with m>= 6.…
New techniques for pointed Hopf algebras
N. Andruskiewitsch, F. Fantino
We present techniques that allow to decide that the dimension of some pointed Hopf algebras associated with non-abelian groups is infinite. These results are consequences of arXiv:…