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

Mauro Spera; Giorgio Valli

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

Mauro Spera
, Giorgio Valli

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	383-392
Number of pages	10
Journal	Russian Journal of Mathematical Physics
Volume	2
Publication status	Published - 1994

Keywords

Pluecker coordinates, Hilbert space grassmannian, CAR algebra

Cite this

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title = "Plu{"}cker Embedding of the Hilbert space Grassmannian and the CAR Algebra",

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.",

keywords = "Pluecker coordinates, Hilbert space grassmannian, CAR algebra, Pluecker coordinates, Hilbert space grassmannian, CAR algebra",

author = "Mauro Spera and Giorgio Valli",

year = "1994",

language = "English",

volume = "2",

pages = "383--392",

journal = "Russian Journal of Mathematical Physics",

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AU - Spera, Mauro

AU - Valli, Giorgio

PY - 1994

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N2 - 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.

AB - 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.

KW - Pluecker coordinates, Hilbert space grassmannian, CAR algebra

UR - http://hdl.handle.net/10807/35627

M3 - Article

SN - 1061-9208

VL - 2

SP - 383

EP - 392

JO - Russian Journal of Mathematical Physics

JF - Russian Journal of Mathematical Physics

ER -

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

Abstract

Keywords

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