Reality of non-Fock Spinors

The infinite dimensional Clifford Algebra has a maze of irreducible unitary representations. Here we determine their type -real, complex or quaternionic. Some, related to the Fermi-Fock representations, have no real or quetrnionic structures. But there are many on L(2) of the circle that do and whic...

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Bibliographic Details
Published in:arXiv.org 2003-02
Main Authors: Galina, Esther, Kaplan, Aroldo, Saal, Linda
Format: Article
Language:English
Subjects:
Representations
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Summary:The infinite dimensional Clifford Algebra has a maze of irreducible unitary representations. Here we determine their type -real, complex or quaternionic. Some, related to the Fermi-Fock representations, have no real or quetrnionic structures. But there are many on L(2) of the circle that do and which seem to have analytic meaning.
ISSN:2331-8422