Abstract
We construct a one-parameter deformation of the group of 2 × 2 upper triangular matrices with determinant 1 using the twisting construction. An interesting feature of this new example of a locally compact quantum group is that the Haar measure is deformed in a nontrivial way. We also give a complete description of the dual C*-algebra and the dual comultiplication.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 4, pp. 564–576, April, 2008.
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Fima, P., Vainerman, L. A locally compact quantum group of triangular matrices. Ukr Math J 60, 648–662 (2008). https://doi.org/10.1007/s11253-008-0071-2
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DOI: https://doi.org/10.1007/s11253-008-0071-2