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Realizations of the canonical representation

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Abstract

A characterisation of the maximal abelian subalgebras of the bounded operators on Hilbert space that are normalised by the canonical representation of the Heisenberg group is given. This is used to classify the perfect realizations of the canonical representation.

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Authors and Affiliations

  1. Chennai Mathematical Institute, Plot H1, SIPCOT IT Park, Padur P.O., Siruseri, 603 103, India

    M. K. Vemuri

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  1. M. K. Vemuri
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Correspondence to M. K. Vemuri.

Additional information

Based in part on the author’s doctoral thesis (University of Chicago), written under the direction of Professor Tim Steger.

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Vemuri, M.K. Realizations of the canonical representation. Proc Math Sci 118, 115–131 (2008). https://doi.org/10.1007/s12044-008-0007-7

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  • DOI: https://doi.org/10.1007/s12044-008-0007-7

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