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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     author = {V. V. Sevost'yanova},
     title = {The invariant algebra of the adjoint action of the unitriangular group in the nilradical of a parabolic subalgebra},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {72--83},
     publisher = {mathdoc},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2010_2_a6/}
}
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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/