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Structures of Boson and Fermion Fock Spaces in the Space of Symmetric Functions |
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| Authors: | Yurii A Neretin |
| Institution: | (1) Math. Phys. Group, Institute for Theoretical and Experimental Physics (ITEP), B. Cheremushkinskaya, Moscow, 117 259, Russia |
| 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. |
| Keywords: | symmetric functions Schur functions boson– fermion correspondence Weil representation spinor representation integral operator |
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