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Irreducible unitary representations of quantum Lorentz group

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Abstract

A complete classification of irreducible unitary representations of a one parameter deformationS q L(2,C) (0<q<1) ofSL(2,C) is given. It shows that in spite of a popular belief the representation theory forS q L(2,C) is not “a smooth deformation” of the one forSL(2,C).

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Authors and Affiliations

  1. Department of Mathematical Methods in Physics, Faculty of Physics, University of Warsaw, Hoza 74, PL 00-682, Warsaw, Poland

    Wiesław Pusz

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  1. Wiesław Pusz
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Communicated by K. Gawedzki

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Pusz, W. Irreducible unitary representations of quantum Lorentz group. Commun.Math. Phys. 152, 591–626 (1993). https://doi.org/10.1007/BF02096620

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