Reality of non-Fock Spinors
classification
🧮 math.RT
math-phmath.MP
keywords
realrepresentationsalgebraanalyticcirclecliffordcomplexdetermine
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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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