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arxiv: math-ph/0306077 · v1 · pith:O7ZJYYJ5new · submitted 2003-06-30 · 🧮 math-ph · math.CO· math.MP

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

classification 🧮 math-ph math.COmath.MP
keywords functionsgroupinfiniterepresentationspacesymmetricbosondimensional
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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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