Remarks on Infinite-Dimensional Representations of the Heisenberg Algebra

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Abstract

Infinite-dimensional representations of Lie algebras necessarily invokethe theory of unbounded operator algebras. Starting with the familiar exampleof the Heisenberg Lie algebra, we sketch the essential features of this interaction,distinguishing in particular the cases of integrable and nonintegrablerepresentations.While integrable representations are well understood, nonintegrablerepresentations are quite mysterious objects.We present here a short and didacticalmindedoverview of the subject.
Lingua originaleEnglish
Titolo della pubblicazione ospiteLie Groups, Differential Equations, and Geometry, Advances and Surveys
Pagine23-40
Numero di pagine18
Stato di pubblicazionePublished - 2017

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Trapani, C. (2017). Remarks on Infinite-Dimensional Representations of the Heisenberg Algebra. In Lie Groups, Differential Equations, and Geometry, Advances and Surveys (pagg. 23-40)