Linearity of the transverse Poisson structure to a coadjoint orbit

• Type: Article in International Scientific Journal
• Date: 2003

Authors

Cruz, I (Author) FCUP; Fardilha, T (Author) Other

Journal

Title: Letters in Mathematical Physics

Vol. 65

Pages: 213-227

ISSN: 0377-9017

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 1 Citation

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: P-000-FCV

DOI: 10.1023/b:math.0000010713.39389.79

Abstract (EN): We prove a simple formula for the transverse Poisson structure to a coadjoint orbit (in the dual of a Lie algebra g) and use it in examples such as sD(4)* and sP(4)*. We also give a suf. cient condition on the isotropy subalgebra of mu is an element of g* so that the transverse Poisson structure to the coadjoint orbit of mu is linear.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 15