On the Weil representation of infinite-dimensional symplectic group over a finite field

2017/03/21 by Yury A. Neretin, Neretin, Yury A.
Mathematics · #18B10 #20C33 #22A25 #22E66 #Advanced Algebra and Geometry #Algebra over a field #Category Theory (math.CT) #Discrete mathematics #FOS: Mathematics #Field (mathematics) #Finite field #Geometric and Algebraic Topology #Group (periodic table) #Group Theory (math.GR) #Mathematical Analysis and Transform Methods #Mathematics #Physics #Political science #Pure mathematics #Quantum mechanics #Representation (politics) #Representation Theory (math.RT) #Symplectic geometry #Symplectic group #Symplectic manifold #Symplectic representation #math.CT #math.GR #math.RT #msc:18B10 #msc:20C33 #msc:22A25 #msc:22E66

paper · pdf · doi:10.48550/arxiv.1703.07238

19pp

arxiv created 2017/03/21 · openalex publication_date 2017/03/21 · arxiv updated 2017/03/22 · openalex created_date 2017/05/12 · openalex updated_date 2026/07/28

Abstract

We extend the Weil representation of infinite-dimensional symplectic group to a representation a certain category of linear relations.

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