Regular N-orbits in the nilradical of a parabolic subalgebra

Abstract

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 field of invariants and the structure of orbits of maximal dimension. The conjecture is proved for parabolic subalgebras of special types.

Cited by in corpus (3)

• The field of invariants for the adjoint action of the Borel group in the nilradical of a parabolic subalgebra
• The field of invariants of the adjoint action of the unitriangular group in the nilradical of a parabolic subalgebra
• The algebra of invariants of the adjoint action of the unitriangular group in the nilradical of a parabolic subalgebra