On quasifree representations of infinite dimensional symplectic group

Taku Matsui, Yoshihito Shimada

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

We consider an infinite dimensional generalization of metaplectic representations (Weil representations) for the (double covering of) symplectic group. Given quasifree states of an infinite dimensional CCR algebra, projective unitary representations of the infinite dimensional symplectic group are constructed via unitary implementors of Bogoliubov automorphisms. Complete classification of these representations up to quasi-equivalence is obtained.

Original languageEnglish
Pages (from-to)67-102
Number of pages36
JournalJournal of Functional Analysis
Volume215
Issue number1
DOIs
Publication statusPublished - Oct 1 2004

All Science Journal Classification (ASJC) codes

  • Analysis

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