Representations of the Heisenberg algebra on holomorphic functions and Krein structures

  • M. Mnatsakanova
  • Published 2002

Abstract

Isomorphisms between the Heisenberg algebra and the algebraA of holomorphic operators z, ∂z are characterized by conjugations, which are classified by a SL(2,C) group G. Representations of A, satisfying a Nelson kind of regularity, namely the implementability of a U(1) subgroup of G, are classified in terms of the U(1) generator and shown to be either of… (More)

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