Regular N-orbits in the nilradical of a parabolic subalgebra

Details Regular N-orbits in the nilradical of a parabolic subalgebra Regular N-orbits in the nilradical of a parabolic subalgebra

2012-03-13

arxiv.org/abs/1203.2754v1

Mathematics

Representation Theory

Scientific paper

In the present paper the adjoint action of the unitriangular group in the
nilradical of a parabolic subalgebra is studied. We set up general conjectures
on the construction of the invariant field and the structure of orbits of
maximal dimension. The conjecture is proved for parabolic subalgebras of
special types.

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