A locally compact quantum group of triangular matrices

Details A locally compact quantum group of triangular matrices A locally compact quantum group of triangular matrices

2008-01-12

arxiv.org/abs/0801.1907v1

Mathematics

Operator Algebras

Scientific paper

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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