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arXiv · dg-ga/9705005

Semidirect products and the Pukanszky condition

P. Baguis
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Abstract

We study the general geometrical structure of the coadjoint orbits of a semidirect product formed by a Lie group and a representation of this group on a vector space. The use of symplectic induction methods gives new insight into the structure of these orbits. In fact, each coadjoint orbit of such a group is obtained by symplectic induction on some coadjoint orbit of a "smaller" Lie group. We study also a special class of polarizations related to a semidirect product and the validity of Pukanszky's condition for these polarizations. Some examples of physical interest are discussed using the previous methods.

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BibTeXRIS

P. Baguis. 1997-05-05. Semidirect products and the Pukanszky condition. https://doi.org/10.1016/s0393-0440(97)00028-4

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