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

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.

32 pages

References in corpus (2)

• Fock factorizations, and decompositions of the $L^2$ spaces over general Levy processes
• Matrix balls, radial analysis of Berezin kernels, and hypergeometric determinants

Cited by in corpus (1)

• On action of the Virasoro algebra on the space of univalent functions