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The unitary irreducible representations of the quantum heisenberg algebra

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Abstract

The goal of this work is to describe the irreducible representations of the quantum Heisenberg algebra and the unitary irreducible representation of one of its real forms. The solution of this problem is obtained through the investigation of theleft spectrum of the quantum Heisenberg algebra using the result about spectra of generic algebras of skew differential operators (cf. [R]).

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  1. Department of Mathematics of Harvard University, 02138, Cambridge, Massachusetts, USA

    Alexander L. Rosenberg

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  1. Alexander L. Rosenberg
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Communicated by N. Yu. Reshetikhin

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Rosenberg, A.L. The unitary irreducible representations of the quantum heisenberg algebra. Commun.Math. Phys. 144, 41–51 (1992). https://doi.org/10.1007/BF02099190

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  • DOI: https://doi.org/10.1007/BF02099190

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