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

2016/08/22 by Victoria Sevostyanova, Sevostyanova, Victoria · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Geometry and complex manifolds #math.RT

paper · pdf · doi:10.48550/arxiv.1608.06096

24 pages. arXiv admin note: substantial text overlap with arXiv:1605.00800

arxiv created 2016/08/22 · arxiv updated 2016/08/23

Abstract

In this paper the field of invariants for the adjoint action of the Borel group in the nilradical of a parabolic subalgebra is studied. We construct the set of B-invariant rational functions generating the field of invariants.

Citations

• The algebra of invariants for the adjoint action of the unitriangular group

Cited by

• Parabolic Adjoint Action, Weierstrass Sections and Components of the Nilfibre in Type A

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