Structures of boson and fermion Fock spaces in the space of symmetric functions

Details 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

2003-06-30

arxiv.org/abs/math-ph/0306077v1

Physics

Mathematical Physics

32 pages

Scientific paper

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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