We study unitarity of the induced representations from coisotropic quantum subgroups which were introduced by Ciccoli 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 one-dimensional quantum Galilei group where we have to use in all generality our definition quasi-invariant functional.
Unitarity of induced quantum group representations
CICCOLI, Nicola;
1999
Abstract
We study unitarity of the induced representations from coisotropic quantum subgroups which were introduced by Ciccoli 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 one-dimensional quantum Galilei group where we have to use in all generality our definition quasi-invariant functional.File in questo prodotto:
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