Quantizations of some Poisson-Lie groups: The bicrossed product construction

JOURNAL OF GEOMETRY AND PHYSICS

卷:56

Article

Kahng, BJ

关键词: Poisson-Lie group;    locally compact quantum group;    multiplicative unitary operator;   

DOI  :  10.1016/j.geomphys.2005.03.002

来源: Elsevier

【 摘 要 】

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. (c) 2005 Elsevier B.V. All rights reserved.

【 授权许可】

Free