Uniqueness of the momentum map

JOURNAL OF GEOMETRY AND PHYSICS

卷:106

Article

Esposito, Chiara¹  Nest, Ryszard² 

[1] Chair Math X Math Phys, Dept Math, Campus Hubland Nord Emil Fischer Str 31, D-97074 Wurzburg, Germany

[2] Dept Math Sci, Univ Pk 5, DK-2100 Copenhagen O, Denmark

关键词: Momentum map;    Poisson Lie groups;    Uniqueness;    Poisson action;   

DOI  :  10.1016/j.geomphys.2016.03.028

来源: Elsevier

【 摘 要 】

We give a detailed discussion of existence and uniqueness of the momentum map associated to Poisson Lie actions, which was defined by Lu. We introduce a weaker notion of momentum map, called infinitesimal momentum map, which is defined on one-forms and we-analyze its integrability to the Lu's momentum map. Finally, the uniqueness of the Lu's momentum map is studied by describing, explicitly, the tangent space to the space of momentum maps. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free