In this note we exhibit Pluecker type equations describing the embedding of the Hilbert space grassmannian of Sato, Segal and Wilson, relying on the thoery of quasi-free states of the CAR algebra. We also reintepret some diastatic identities in a previous paper of ours in terms of a boson-fermion correspondence.
Pluecker embedding of the Hilbert space grassmannian and the CARalgebra
SPERA, Mauro;
1994-01-01
Abstract
In this note we exhibit Pluecker type equations describing the embedding of the Hilbert space grassmannian of Sato, Segal and Wilson, relying on the thoery of quasi-free states of the CAR algebra. We also reintepret some diastatic identities in a previous paper of ours in terms of a boson-fermion correspondence.
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