Decomposition of Representations of CAR Induced by Bogoliubov Endomorphisms

Abstract

In a Fock representation, a non-surjective Bogoliubov transformation of CAR leads to a reducible representation. For the case that the corresponding Bogoliubov operator has finite corank, the decomposition into irreducible subrepresentations is clarified. In particular, it turns out that the number of appearing subrepresentations is completely determined by the corank.

14 pages, Latex, DESY 94-173

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