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JOURNALS // Uspekhi Matematicheskikh Nauk // Archive

Uspekhi Mat. Nauk, 1969 Volume 24, Issue 4(148), Pages 3–64 (Mi rm5520)

This article is cited in 15 papers

Classification of representanions of the anticommutation relations

V. Ya. Golodets


Abstract: The paper deals with the classification of representations of the anticommutation relations in the “space of occupation numbers”. The problem reduces to the determination of all the realizations of a certain denumerable discrete commutative group as a group of automorphisms of a measure space leaving the measure quasiinvariant, and also to the construction of such measures.

UDC: 519.4+519.9

MSC: 81S05, 20F12, 15A27

Received: 17.02.1969


 English version:
Russian Mathematical Surveys, 1969, 24:4, 1–63

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