Geodesic
The invariant algebra of the adjoint action of the unitriangular group in the nilradical of a parabolic subalgebra
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2010), pp. 72-83
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In the paper the invariant algebra of the adjoint action of the triangular group in the nilradical of a parabolic subalgebra is studied. We formulate a conjecture on the structure of the invariant algebra. The conjecture is proved for parabolic subalgebras of a special case.
Mots-clés : Invariant algebra, Parabolic subalgebras
Keywords: Triangular group, Adjoint representation. 
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     title = {The invariant algebra of the adjoint action of the unitriangular group in the nilradical of a parabolic subalgebra},
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V. V. Sevost'yanova. The invariant algebra of the adjoint action of the unitriangular group in the nilradical of a parabolic subalgebra. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2010), pp. 72-83. http://geodesic.mathdoc.fr/item/VSGU_2010_2_a6/

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