Geodesic
An Explicit Construction of the Metaplectic Representation over a Finite Field
Journal of Lie theory, Tome 12 (2002) no. 1, pp. 15-3.

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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). 
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     author = {M. Neuhauser },
     title = {An {Explicit} {Construction} of the {Metaplectic} {Representation} over a {Finite} {Field}},
     journal = {Journal of Lie theory},
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     year = {2002},
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}
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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/