Coherent states for Hopf algebras
Quantum Algebra
2008-11-26 v4 High Energy Physics - Theory
Algebraic Geometry
Abstract
Families of Perelomov coherent states are defined axiomatically in the context of unitary representations of Hopf algebras possessing a Haar integral. A global geometric picture involving locally trivial noncommutative fibre bundles is involved in the construction. A noncommutative resolution of identity formula is proved in that setup. Examples come from quantum groups.
Keywords
Cite
@article{arxiv.math/0303357,
title = {Coherent states for Hopf algebras},
author = {Zoran Skoda},
journal= {arXiv preprint arXiv:math/0303357},
year = {2008}
}
Comments
19 pages, uses kluwer.cls; the exposition much improved; an example of deriving the resolution of identity via coherent states for SUq(2) added; the result differs from the proposals in literature