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.
Spera, M., Valli, G., Plu"cker Embedding of the Hilbert space Grassmannian and the CAR Algebra, <<RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS>>, 1994; 2 (3): 383-392 [http://hdl.handle.net/10807/35627]
Plu"cker Embedding of the Hilbert space Grassmannian and the CAR Algebra
Spera, Mauro;
1994
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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