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arXiv · 0711.3142

On pointed Hopf algebras associated with the Mathieu simple groups

Fernando Fantino
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Abstract

Let G be a Mathieu simple group, s in G, O_s the conjugacy class of s and \rho an irreducible representation of the centralizer of s. We prove that either the Nichols algebra B(O_s,\rho) is infinite-dimensional or the braiding of the Yetter-Drinfeld module M(O_s, \rho) is negative. We also show that if G=M22 or M24, then the group algebra of G is the only (up to isomorphisms) finite-dimensional complex pointed Hopf algebra with group-likes isomorphic to G.

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Fernando Fantino. 2007-11-20. On pointed Hopf algebras associated with the Mathieu simple groups. https://arxiv.org/abs/0711.3142

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