Plu"cker Embedding of the Hilbert space Grassmannian and the CAR Algebra

Mauro Spera, Giorgio Valli

Research output: Contribution to journalArticlepeer-review

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.
Original languageEnglish
Pages (from-to)383-392
Number of pages10
JournalRussian Journal of Mathematical Physics
Volume2
Publication statusPublished - 1994

Keywords

  • Pluecker coordinates, Hilbert space grassmannian, CAR algebra

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