1Zentrum Mathematik, Technische Universität, Arcisstrasse 21, 80290 München, Germany 2This paper deals with the metaplectic representation of Sp(n,K), where K is a finite field. We give an explicit, elementary and largely self-contained construction of the metaplectic representation over finite fields of characteristic not equal to 2. The important steps of the construction will be given for a system of generating elements of Sp(n,K). 3[
Journal of Lie Theory, Tome 12 (2002) no. 1, pp. 15-30
Citer cet article
Markus Neuhauser. An Explicit Construction of the Metaplectic Representation over a Finite Field. Journal of Lie Theory, Tome 12 (2002) no. 1, pp. 15-30. http://geodesic.mathdoc.fr/item/JOLT_2002_12_1_a1/
@article{JOLT_2002_12_1_a1,
author = {Markus Neuhauser},
title = {An {Explicit} {Construction} of the {Metaplectic} {Representation} over a {Finite} {Field}},
journal = {Journal of Lie Theory},
pages = {15--30},
year = {2002},
volume = {12},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JOLT_2002_12_1_a1/}
}
TY - JOUR
AU - Markus Neuhauser
TI - An Explicit Construction of the Metaplectic Representation over a Finite Field
JO - Journal of Lie Theory
PY - 2002
SP - 15
EP - 30
VL - 12
IS - 1
UR - http://geodesic.mathdoc.fr/item/JOLT_2002_12_1_a1/
ID - JOLT_2002_12_1_a1
ER -
%0 Journal Article
%A Markus Neuhauser
%T An Explicit Construction of the Metaplectic Representation over a Finite Field
%J Journal of Lie Theory
%D 2002
%P 15-30
%V 12
%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2002_12_1_a1/
%F JOLT_2002_12_1_a1
This paper deals with the metaplectic representation of Sp(n,K), where K is a finite field. We give an explicit, elementary and largely self-contained construction of the metaplectic representation over finite fields of characteristic not equal to 2. The important steps of the construction will be given for a system of generating elements of Sp(n,K).
