A Generalization of Mackey's Theory of Induced Representations

2015/04/09 by Jarosław Wawrzycki, Wawrzycki, Jaroslaw · 1 citation
Arts and Humanities · #43A65 #FOS: Physical sciences #Mathematical Physics (math-ph) #Philosophy and History of Science

paper · pdf · doi:10.48550/arxiv.1504.02273

openalex publication_date 2015/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we extend the Mackey's theory of induced unitary representations on a wide class of Krein-isometric induced representations in Krein spaces. The subgroup theorem and the Kronecker product theorem are shown to be valid for the induced representations of this class. Among the class of representations which are subsumed by this extension there are all the representations acting in the single particle Krein-Hilbert space and in Fock-Krein spaces of the mass less gauge free fields underling the Standard Model in the local gauge BRST formalutaion, e. g. of the electromagnetic potential field.

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