Unitarity of induced representations from coisotropic quantum groups
Quantum Algebra
2010-04-23 v1
Abstract
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.
Cite
@article{arxiv.math/9806062,
title = {Unitarity of induced representations from coisotropic quantum groups},
author = {F. Bonechi and N. Ciccoli and R. Giachetti and E. Sorace and M. Tarlini},
journal= {arXiv preprint arXiv:math/9806062},
year = {2010}
}
Comments
14 pages, in LaTeX