The field of invariants for the adjoint action of the Borel group in the nilradical of a parabolic subalgebra
Victoria Sevostyanova
TL;DR
This paper investigates the invariants under the Borel group action on the nilradical of a parabolic subalgebra, constructing generators for the field of invariants.
Contribution
It introduces a method to explicitly construct the set of B-invariant rational functions that generate the field of invariants.
Findings
Constructed the set of B-invariant rational functions
Generated the entire field of invariants
Provided explicit formulas for invariants
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.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Advanced Topics in Algebra · Geometry and complex manifolds