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Structures of Boson and Fermion Fock Spaces in the Space of Symmetric Functions

Structures of Boson and Fermion Fock Spaces in the Space of Symmetric Functions We realize the Weil representation of infinite-dimensional symplectic group and spinor representation of infinite-dimensional group GL by linear operators in the space of symmetric functions in infinite number of variables. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Structures of Boson and Fermion Fock Spaces in the Space of Symmetric Functions

Acta Applicandae Mathematicae , Volume 81 (1) – Oct 18, 2004

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References (29)

Publisher
Springer Journals
Copyright
Copyright © 2004 by Kluwer Academic Publishers
Subject
Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1023/B:ACAP.0000024202.14755.99
Publisher site
See Article on Publisher Site

Abstract

We realize the Weil representation of infinite-dimensional symplectic group and spinor representation of infinite-dimensional group GL by linear operators in the space of symmetric functions in infinite number of variables.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Oct 18, 2004

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