A locally compact quantum group of triangular matrices

  • P. Fima
  • L. I. Vainerman


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.
How to Cite
Fima, P., and L. I. Vainerman. “A Locally Compact Quantum Group of Triangular Matrices”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, no. 4, Apr. 2008, pp. 564–576, https://umj.imath.kiev.ua/index.php/umj/article/view/3176.
Research articles