Affine Lie algebras and modular forms
I. G. MacDonald (1980-1981)
Séminaire Bourbaki
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I. G. MacDonald (1980-1981)
Séminaire Bourbaki
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M. Welleda Baldoni Silva (1979)
Rendiconti del Seminario Matematico della Università di Padova
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Nikolai Vavilov (2000)
Rendiconti del Seminario Matematico della Università di Padova
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Olive, David I.
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Dmitri I. Panyushev (2005)
Annales de l’institut Fourier
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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...