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Lowest weight representations of some infinite dimensional groups on fock spaces (1990)

Schmidt, Martin U.

Springer

Acta applicandae mathematicae 18 (1990), S. 59-84

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ISSN: 1572-9036

Keywords: 22E65 ; 22E70 ; Highest weight modules ; CCR algebras ; representation theory

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract The results of Kashiwara and Vergne on the decomposition of the tensor products of the ‘Segal-Shale-Weil representation’ are extended to the infinite dimensional case and give all unitary lowest weight representations. Our methods are basically algebraic. When restricted to the finite dimensional case, they yield a new proof.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00822205

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