2017
Том 69
№ 9

All Issues

A locally compact quantum group of triangular matrices

Fima P., Vainerman L. I.

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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 non-trivial way. Also, we give a complete description of the dual C*-algebra and the dual comultiplication.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 4, pp 648-662.

Citation Example: Fima P., Vainerman L. I. A locally compact quantum group of triangular matrices // Ukr. Mat. Zh. - 2008. - 60, № 4. - pp. 564–576.

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