A bijection between the adjoint and coadjoint orbits of a semidirect product
Sign Up to like & getrecommendations! Published in 2019 at "Differential Geometry and its Applications"
DOI: 10.1016/j.difgeo.2018.12.005
Abstract: Abstract We prove that there exists a geometric bijection between the sets of adjoint and coadjoint orbits of a semidirect product, provided a similar bijection holds for particular subgroups. We also show that under certain… read more here.
Keywords: orbits semidirect; bijection; adjoint coadjoint; coadjoint orbits ... See more keywords
Coadjoint orbits of Lie groupoids
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DOI: 10.1016/j.geomphys.2018.03.011
Abstract: Abstract For a Lie groupoid G with Lie algebroid A , we realize the symplectic leaves of the Lie–Poisson structure on A ∗ as orbits of the affine coadjoint action of the Lie groupoid J… read more here.
Keywords: orbits lie; geometry; coadjoint orbits; lie groupoids ... See more keywords
Comparison and continuity of Wick-type star products on certain coadjoint orbits
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DOI: 10.1515/forum-2018-0302
Abstract: Abstract In this paper, we discuss continuity properties of the Wick-type star product on the 2-sphere, interpreted as a coadjoint orbit. Star products on coadjoint orbits in general have been constructed by different techniques. We… read more here.
Keywords: coadjoint orbits; continuity; star products; type star ... See more keywords