Reality of non-Fock Spinors

Details Reality of non-Fock Spinors Reality of non-Fock Spinors

2003-01-23

arxiv.org/abs/math/0301263v2

Mathematics

Representation Theory

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Scientific paper

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.

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