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.
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Neretin, Y.A. Structures of Boson and Fermion Fock Spaces in the Space of Symmetric Functions. Acta Applicandae Mathematicae 81, 233–268 (2004). https://doi.org/10.1023/B:ACAP.0000024202.14755.99
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DOI: https://doi.org/10.1023/B:ACAP.0000024202.14755.99