Pointed Hopf algebras over the sporadic simple groups

Details Pointed Hopf algebras over the sporadic simple groups Pointed Hopf algebras over the sporadic simple groups

2010-01-07

arxiv.org/abs/1001.1108v2

J. Algebra 325 (1) (2011) 305-320

Mathematics

Quantum Algebra

16 pages, final version

Scientific paper

10.1016/j.jalgebra.2010.10.019

We show that every finite-dimensional complex pointed Hopf algebra with group
of group-likes isomorphic to a sporadic group is a group algebra, except for
the Fischer group Fi22, the Baby Monster and the Monster. For these three
groups, we give a short list of irreducible Yetter-Drinfeld modules whose
Nichols algebra is not known to be finite-dimensional.

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