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arXiv · 0801.1907

A locally compact quantum group of triangular matrices

Pierre Fima·Leonid Vainerman
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Abstract

We construct a one parameter deformation of the group of $2\times 2$ 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 $\cs$-algebra and the dual comultiplication.

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Pierre Fima, Leonid Vainerman. 2008-01-12. A locally compact quantum group of triangular matrices. https://arxiv.org/abs/0801.1907

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