On pointed Hopf algebras associated to unmixed conjugacy classes in S_n

Abstract

Let s in S_n be a product of disjoint cycles of the same length, C the conjugacy class of s and rho an irreducible representation of the isotropy group of s. We prove that either the Nichols algebra B(C, rho) is infinite-dimensional, or the braiding of the Yetter-Drinfeld module is negative.

References in corpus (3)

• The Weyl-Brandt groupoid of a Nichols algebra of diagonal type
• An algebraic approach to logarithmic conformal field theory
• On pointed Hopf algebras associated to unmixed conjugacy classes in S_n

Cited by in corpus (6)

• Finite-dimensional pointed Hopf algebras with alternating groups are trivial
• On pointed Hopf algebras over dihedral groups
• Finite dimensional pointed Hopf algebras over S_4
• On Nichols algebras over PGL(2,q) and PSL(2,q)
• On pointed Hopf algebras associated to unmixed conjugacy classes in S_n
• On Nichols algebras over SL(2,Fq) and GL(2,Fq)