CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
Finite-dimensional pointed Hopf algebras over finite 3 simple groups of Lie type V. Mixed classes in Chevalley and Steinberg groups
Autor/es:
ANDRUSKIEWITSCH, NICOLÁS; CARNOVALE, GIOVANNA; GARCÍA, GASTÓN ANDRÉS
Revista:
MANUSCRIPTA MATHEMATICA
Editorial:
SPRINGER
Referencias:
Año: 2020
ISSN:
0025-2611
Resumen:
We show that all classes that are neither semisimple nor unipotent in finite simple Chevalley or Steinberg groups different from PSLn(q) collapse (i.e. are never the support of a finite-dimensional Nichols algebra). As a consequence, we prove that the only finite-dimensional pointed Hopf algebra whose group of group-like elements is PSp2n(q) , PΩ4n+(q), PΩ4n-(q), 3D4(q) , E7(q) , E8(q) , F4(q) , or G2(q) with q even is the group algebra.
