Unitarity of induced representations from coisotropic quantum groups

Details Unitarity of induced representations from coisotropic quantum groups Unitarity of induced representations from coisotropic quantum groups

1998-06-11

arxiv.org/abs/math/9806062v1

Lett.Math.Phys. 49 (1999) 17-31

Mathematics

Quantum Algebra

14 pages, in LaTeX

Scientific paper

We study unitarity of the induced representations from coisotropic quantum subgroups which were introduced in math.QA/9804138. We define a real structure on coisotropic subgroups which determines an involution on the homogeneous space. We give general invariance properties for functionals on the homogeneous space which are sufficient to build a unitary representation starting from the induced one. We present the case of the one-dimensional quantum Galilei group, where we have to use in all enerality our definition of quasi-invariant functional.

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