• Symplectic structures on locally compact abelian groups and polarizations

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      https://www.ias.ac.in/article/fulltext/pmsc/104/01/0217-0223

    • Keywords

       

      Symplectic structures

    • Abstract

       

      LetX be a locally compact abelian group and ω(.,.) a symplectic structure on it. A polarization for (X, ω) is a pair of totally isotropic closed subgroupsG, G* ofX such thatX =G.G* and ω(.,.) defines a dual pairing ofG andG*. In this paper we describe a class of such groups which always admit a polarization and also discuss their structure.

    • Author Affiliations

       

      R Ranga Rao1

      1. Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, Illinois - 61801, USA
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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