A star-product approach to noncompact quantum groups
High Energy Physics - Theory
2009-10-28 v1 Quantum Algebra
Abstract
Using duality and topological theory of well behaved Hopf algebras (as defined in [2]) we construct star-product models of non compact quantum groups from Drinfeld and Reshetikhin standard deformations of enveloping Hopf algebras of simple Lie algebras. Our star-products act not only on coefficient functions of finite-dimensional representations, but actually on all functions, and they exist even for non linear (semi-simple) Lie groups.
Cite
@article{arxiv.hep-th/9409054,
title = {A star-product approach to noncompact quantum groups},
author = {Frédéric Bidegain and Georges Pinczon},
journal= {arXiv preprint arXiv:hep-th/9409054},
year = {2009}
}
Comments
13 pages