Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I : Non-semisimple classes in PSLₙ(q)

We show that Nichols algebras of most simple Yetter–Drinfeld modules over the projective special linear group over a finite field, corresponding to non-semisimple orbits, have infinite dimension. We spell out a new criterium to show that a rack collapses.

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Detalles Bibliográficos
Autores principales: Andruskiewitsch, Nicolás, Carnovale, Giovanna, García, Gastón Andrés
Formato: Articulo
Lenguaje:Inglés
Publicado: 2015
Materias:
Matemática
Nichols algebra
Yetter–Drinfeld module
Hopf algebra
Racks
Finite groups of Lie type
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/102972
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
Descripción
Sumario:We show that Nichols algebras of most simple Yetter–Drinfeld modules over the projective special linear group over a finite field, corresponding to non-semisimple orbits, have infinite dimension. We spell out a new criterium to show that a rack collapses.

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