On the integration of Poisson homogeneous spaces

JOURNAL OF GEOMETRY AND PHYSICS

卷:58

Article

Bonechi, Francesco¹  Ciccoli, Nicola²  Staffolani, Nicola³  Tarlini, Marco¹ 

[1] INFN Sez Firenze, I-50019 Florence, Italy

[2] Dipartimento Matemat & Informat, I-06123 Perugia, Italy

[3] Univ Florence, Dipartimento Fis, I-50019 Florence, Italy

关键词: Poisson geometry;    Symplectic groupoids;    Poisson homogeneous spaces;    Poisson-Lie groups;    Coisotropic subgroups;    Geometric quantization;   

DOI  :  10.1016/j.geomphys.2008.07.001

来源: Elsevier

【 摘 要 】

We study a reduction procedure for describing the symplectic groupoid of a Poisson homogeneous space obtained by quotient of a coisotropic subgroup. We perform it as a reduction of the Lu-Weinstein symplectic groupoid integrating Poisson Lie groups, that is Suitable even for the non-complete case. (C) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

Free