On characters of Chevalley groups vanishing at the non-semisimple elements

Marco Antonio Pellegrini; Alexandre Zalesski; A. E. Zalesski

doi:10.1142/S0218196716500351

On characters of Chevalley groups vanishing at the non-semisimple elements

Marco Antonio Pellegrini, Alexandre Zalesski, A. E. Zalesski

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

6 Citazioni (Scopus)

Abstract

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.

Lingua originale	English
pagine (da-a)	789-841
Numero di pagine	53
Rivista	International Journal of Algebra and Computation
Volume	26
DOI	https://doi.org/10.1142/S0218196716500351
Stato di pubblicazione	Pubblicato - 2016

Keywords

Chevalley groups
Gelfand-Graev characters
generalized Steinberg characters
p-singular elements
projective modules

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abstract = "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.",

keywords = "Chevalley groups, Gelfand-Graev characters, generalized Steinberg characters, p-singular elements, projective modules, Chevalley groups, Gelfand-Graev characters, generalized Steinberg characters, p-singular elements, projective modules",

author = "Pellegrini, {Marco Antonio} and Alexandre Zalesski and Zalesski, {A. E.}",

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T1 - On characters of Chevalley groups vanishing at the non-semisimple elements

AU - Pellegrini, Marco Antonio

AU - Zalesski, Alexandre

AU - Zalesski, A. E.

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 - http://hdl.handle.net/10807/81280

U2 - 10.1142/S0218196716500351

DO - 10.1142/S0218196716500351

M3 - Article

VL - 26

SP - 789

EP - 841

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

SN - 0218-1967

ER -

On characters of Chevalley groups vanishing at the non-semisimple elements

Abstract

Keywords

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