- 02-178 Taku Matsui, Yoshihito Shimada
- On Quasifree Representations of Infinite Dimensional Symplectic Group
Apr 9, 02
(auto. generated ps),
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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.