On Twisted homogeneous racks of type D

Abstract

We develop some techniques to check when a twisted homogeneous rack of class (L,t,θ) is of type D. Then we apply the obtained results to the cases L an alternating group on n letters, n\geq 5, or L a sporadic group.

arXiv comment16 pages

References in corpus (2)

• Finite-dimensional pointed Hopf algebras with alternating groups are trivial
• Pointed Hopf algebras over the sporadic simple groups