INVESTIGADORES
FANTINO fernando Amado
artículos
Título:
On pointed Hopf algebras associated with the Mathieu simple groups
Autor/es:
FERNANDO FANTINO
Revista:
Journal of Algebra and Its Applications
Editorial:
World Scientific Publishing
Referencias:
Lugar: Singapur; Año: 2009 vol. 8 p. 633 - 672
ISSN:
0219-4988
Resumen:
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.
