2009/04/15 by Gerald Cliff, Cliff, Gerald, David McNeilly +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.0904.2354
openalex publication_date 2009/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the Weil representation of the symplectic group Sp(2n,F), where F is a non-archimedian local field, can be realized over the field obtained from the rationals by adjoining the square roots of p and -p, where p is the residue characteristic of F; p is assumed to be odd.