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On a classification of irreducible almost commutative geometries

Bruno Iochum, Thomas Schücker, Christoph Stephan

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Source: Crossref

Published: Dec 1, 2004

DOI: 10.1063/1.1811372

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Source abstract

We classify all irreducible, almost commutative geometries whose spectral action is dynamically nondegenerate. Heavy use is made of Krajewski’s diagrammatic language. The motivation for our definition of dynamical nondegeneracy stems from particle physics where the fermion masses are nondegenerate.

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On a classification of irreducible almost commutative geometries — Mathematical Frontier Network