6533b82cfe1ef96bd128f4d5
RESEARCH PRODUCT
Remarks on Infinite-Dimensional Representations of the Heisenberg Algebra
Camillo Trapanisubject
RepresentationsUnbounded operatorAlgebraLie aalgebraPure mathematicsIntegrable systemSettore MAT/05 - Analisi MatematicaLie algebraSubject (philosophy)Algebra over a fieldSketchMathematicsdescription
Infinite-dimensional representations of Lie algebras necessarily invoke the theory of unbounded operator algebras. Starting with the familiar example of the Heisenberg Lie algebra, we sketch the essential features of this interaction, distinguishing in particular the cases of integrable and nonintegrable representations. While integrable representations are well understood, nonintegrable representations are quite mysterious objects. We present here a short and didactical-minded overview of the subject.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 |