CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type III. Semisimple classes in PSLn(q)
Autor/es:
CARNOVALE, GIOVANNA; ANDRUSKIEWITSCH, NICOLÁS; GARCÍA, GASTÓN ANDRÉS
Revista:
REVISTA MATEMATICA IBEROAMERICANA
Editorial:
UNIV AUTONOMA MADRID
Referencias:
Año: 2017 vol. 33 p. 995 - 1024
ISSN:
0213-2230
Resumen:
We show that Nichols algebras of most simple Yetter-Drinfeld modules over the projective special linear group over a finite field, corresponding to semisimple orbits, have infinite dimension. We introduce a new criterium to determine when a conjugacy class collapses and prove that for infinitely many pairs (n, q), any finite-dimensional pointed Hopf algebra H with G(H) ∼ PSLn(q) or SLn(q) is isomorphic to a group algebra.
