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Linearity of the transverse Poisson structure to a coadjoint orbit
Title
Linearity of the transverse Poisson structure to a coadjoint orbit
Type
Article in International Scientific Journal
Year
2003
Authors
Cruz, I
(Author)
FCUP
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Fardilha, T
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FOS:
Natural sciences > Physical sciences
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Authenticus ID:
P-000-FCV
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
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