Front for the arXiv
Fri, 8 Nov 2019
Front > math > QA > 0303 > math/0303357 		search | register | submit
journals | about | iFAQ

math/0303357

[pdf] [ps] [dvi] [src] [arxiv]

Title: Coherent states for Hopf algebras
Authors: Zoran Skoda
Categories: math.QA Quantum Algebra (math.AG Algebraic Geometry; physics.hep-th High Energy Physics - Theory)
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
MSC: 14A22; 16W30; 14L30; 58B32
Journal reference: Lett.Math.Phys.81:1-17,2007 (DOI 10.1007/s11005-007-0166-y)

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.

Owner: Zoran Skoda
Version 1: Thu, 27 Mar 2003 20:28:14 GMT
Version 2: Mon, 7 Jul 2003 15:11:52 GMT
Version 3: Tue, 16 Mar 2004 19:14:25 GMT
Version 4: Tue, 1 Mar 2005 17:29:53 GMT

[help e-mail] - for questions or comments about the Front
arXiv contact page - for questions about downloading and submitting e-prints