On quasifree representations of infinite dimensional symplectic group

Taku Matsui, Yoshihito Shimada

研究成果: ジャーナルへの寄稿記事

3 引用 (Scopus)

抄録

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.

元の言語英語
ページ(範囲)67-102
ページ数36
ジャーナルJournal of Functional Analysis
215
発行部数1
DOI
出版物ステータス出版済み - 10 1 2004

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Symplectic Group
Weil Representation
Unitary Representation
Automorphisms
Covering
Equivalence
Algebra

All Science Journal Classification (ASJC) codes

  • Analysis

これを引用

On quasifree representations of infinite dimensional symplectic group. / Matsui, Taku; Shimada, Yoshihito.

:: Journal of Functional Analysis, 巻 215, 番号 1, 01.10.2004, p. 67-102.

研究成果: ジャーナルへの寄稿記事

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