TY - JOUR
T1 - On characters of Chevalley groups vanishing at the non-semisimple elements
AU - Pellegrini, Marco Antonio
AU - Zalesski, Alexandre
PY - 2016
Y1 - 2016
N2 - Let G be a finite simple group of Lie type. In this paper, we study characters of G that vanish at the non-semisimple elements and whose degree is equal to the order of a maximal unipotent subgroup of G. Such characters can be viewed as a natural generalization of the Steinberg character. For groups G of small rank we also determine the characters of this degree vanishing only at the non-identity unipotent elements.
AB - Let G be a finite simple group of Lie type. In this paper, we study characters of G that vanish at the non-semisimple elements and whose degree is equal to the order of a maximal unipotent subgroup of G. Such characters can be viewed as a natural generalization of the Steinberg character. For groups G of small rank we also determine the characters of this degree vanishing only at the non-identity unipotent elements.
KW - Chevalley groups
KW - Gelfand-Graev characters
KW - generalized Steinberg characters
KW - p-singular elements
KW - projective modules
KW - Chevalley groups
KW - Gelfand-Graev characters
KW - generalized Steinberg characters
KW - p-singular elements
KW - projective modules
UR - https://publicatt.unicatt.it/handle/10807/81280
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84974814455&origin=inward
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84974814455&origin=inward
U2 - 10.1142/S0218196716500351
DO - 10.1142/S0218196716500351
M3 - Article
SN - 0218-1967
VL - 26
SP - 789
EP - 841
JO - International Journal of Algebra and Computation
JF - International Journal of Algebra and Computation
IS - 04
ER -