Regular N-orbits in the nilradical of a parabolic subalgebra

2012/03/13 by A. N. Panov, А. Н. Панов, Panov, A. N. +2 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1203.2754

openalex publication_date 2012/03/13 · arxiv created 2012/05/14 · arxiv updated 2012/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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

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