An Explicit Construction of the Metaplectic Representation over a Finite Field
Journal of Lie theory, Tome 12 (2002) no. 1, pp. 15-3
Cet article a éte moissonné depuis la source Heldermann Verlag
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).
@article{JLT_2002_12_1_JLT_2002_12_1_a1,
author = {M. Neuhauser },
title = {An {Explicit} {Construction} of the {Metaplectic} {Representation} over a {Finite} {Field}},
journal = {Journal of Lie theory},
pages = {15--3},
year = {2002},
volume = {12},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JLT_2002_12_1_JLT_2002_12_1_a1/}
}
M. Neuhauser . An Explicit Construction of the Metaplectic Representation over a Finite Field. Journal of Lie theory, Tome 12 (2002) no. 1, pp. 15-3. http://geodesic.mathdoc.fr/item/JLT_2002_12_1_JLT_2002_12_1_a1/