Invariants of coadjoint representation of regular factors
A.N. Panov
TL;DR
This paper constructs a system of generators for the field of invariants related to the coadjoint representation of regular factors, which are specific algebraic structures derived from the unitriangular Lie algebra.
Contribution
It introduces a method to explicitly generate invariants for coadjoint representations of regular factors, advancing understanding of their algebraic properties.
Findings
System of generators for the invariants field is constructed.
Applicable to any regular factor of the unitriangular Lie algebra.
Enhances the algebraic understanding of coadjoint representations.
Abstract
A regular factor is a factor algebra of the unitriangular Lie algebra with respect to some regular ideal. In the paper we construct system of generators of the field of invariants for the coadjoint representation of an arbitrary regular factor.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Algebra and Geometry