The Pseudo-Character of the Weil Representation and its Relation with the Conley-Zehnder Index

2009/09/08 by Maurice A. de Gosson, Maurice de Gosson, de Gosson, Maurice +2
Chemistry · Mathematics · Physics and Astronomy · #11F27 #14F05 #Advanced Algebra and Geometry #FOS: Mathematics #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Molecular spectroscopy and chirality #Symplectic Geometry (math.SG) #math-ph #math.MP #math.SG #msc:11F27 #msc:14F05

paper · pdf · doi:10.48550/arxiv.0909.1437

short Note

arxiv created 2009/09/08 · openalex publication_date 2009/09/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We calculate the character of the Weil representation using previous results which express the Weyl symbol of metaplectic operators in terms of the symplectic Cayley transform and the Conley--Zehnder index.

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