Foliation of the Space \( \mathfrak{s}{\mathfrak{l}}^{\ast}\left(n,\mathbb{R}\right) \) into Coadjoint Orbits
- Authors: Palii Y.G.1,2
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Affiliations:
- Joint Institute for Nuclear Research
- Institute of Applied Physics
- Issue: Vol 240, No 5 (2019)
- Pages: 678-687
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242815
- DOI: https://doi.org/10.1007/s10958-019-04384-w
- ID: 242815
Cite item
Abstract
We suggest a method for constructing parameters on the coadjoint orbits in \( \mathfrak{s}{\mathfrak{l}}^{\ast}\left(n,\mathbb{R}\right) \). The method is based on the fact that parameters are invariant under the action of vector fields normal to the tangent space of the orbit with respect to the Killing form. The construction reduces to solving a homogeneous system of linear equations.
About the authors
Yu. G. Palii
Joint Institute for Nuclear Research; Institute of Applied Physics
Author for correspondence.
Email: palii@jinr.ru
Russian Federation, Dubna; Chisinau