Locally-operating realizations of groups and superequivalence of factor systems

JoséF. Cariñena, Mariano A. del Olmo and Mariano Santander

Physica A: Statistical Mechanics and its Applications, 1982, vol. 114, issue 1, 420-423

Abstract: The unitary (multiplier) locally-operating realizations of a transitive group of transformations, G, are identified with those obtained by an induction process from linear finite-dimensional representations of a group Γ, related with the isotopy group Γ of the given action. In this induction process each pseudoequivalence class of linear representations of Γ splits into several gauge-equivalence classes of unitary multiplier locally-operating realizations of G. The concept of superequivalence of factor systems appears here in a natural way.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:114:y:1982:i:1:p:420-423

DOI: 10.1016/0378-4371(82)90324-7

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