The invariant algebra of the adjoint action of the unitriangular group in the nilradical of a parabolic subalgebra

Details The invariant algebra of the adjoint action of the unitriangular group in the nilradical of a parabolic subalgebra The invariant algebra of the adjoint action of the unitriangular group in the nilradical of a parabolic subalgebra

2012-03-22

arxiv.org/abs/1203.4899v1

Mathematics

Representation Theory

Scientific paper

In the paper the invariant algebra of the adjoint action of the unitriangular
group in the nilradical of a parabolic subalgebra is studied. We set up a
conjecture on the structure of the invariant algebra. The conjecture is proved
for parabolic subalgebras of special types.

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