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On the combinatorics of coadjoint orbits

✍ Scribed by A. A. Kirillov


Publisher
Springer US
Year
1993
Tongue
English
Weight
223 KB
Volume
27
Category
Article
ISSN
0016-2663

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πŸ“œ SIMILAR VOLUMES


Deformations on coadjoint orbits
✍ D. Arnal; M. Cahen; S. Gutt πŸ“‚ Article πŸ“… 1986 πŸ› Elsevier Science 🌐 English βš– 975 KB

## A deformation of the polynomial algebra S(~) on ~when S(~1)is a free I(~)module (I(Γ§~)= algebra of invariant polinomials) . This deformation restricts nicely to a large class of orbits. We also give an example to show that deformations of S(~)restricting to orbits may not always be defined by b

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In this paper, we describe how to compute the transverse Poisson structures of coadjoint orbits using Dirac's constraint bracket formula, and we prove that if the isotropy algebra admits a complementary subalgebra, then the transverse structure is, at most, quadratic.