Quantizations of some Poisson-Lie groups: The bicrossed product construction
Operator Algebras
2007-05-23 v2 Quantum Algebra
Abstract
By working with several specific Poisson-Lie groups arising from Heisenberg Lie bialgebras and by carrying out their quantizations, a case is made for a useful but simple method of constructing locally compact quantum groups. The strategy is to analyze and collect enough information from a Poisson-Lie group, and using it to carry out a ``cocycle bicrossed product construction''. Constructions are done using multiplicative unitary operators, obtaining C*-algebraic, locally compact quantum (semi-)groups.
Cite
@article{arxiv.math/0410029,
title = {Quantizations of some Poisson-Lie groups: The bicrossed product construction},
author = {Byung-Jay Kahng},
journal= {arXiv preprint arXiv:math/0410029},
year = {2007}
}
Comments
26 pages