Compact manifold of coherent states invariant by semisimple Lie groups
A. Cavalli, G. D'Ariano, L. Michel (1986)
Annales de l'I.H.P. Physique théorique
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Displaying similar documents to “The geometry of the octet”
Compact manifold of coherent states invariant by semisimple Lie groups
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An extension of Rais' theorem and seaweed subalgebras of simple Lie algebras
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We prove an extension of Rais' theorem on the coadjoint representation of certain graded Lie algebras. As an application, we prove that, for the coadjoint representation of any seaweed subalgebra in a general linear or symplectic Lie algebra, there is a generic stabiliser and the field of invariants is rational. It is also shown that if the highest root of a simple Lie algerba is not fundamental, then there is a parabolic subalgebra whose coadjoint representation...