From the 1 of 6 linked papers with an AI index.
6 papers
The Action of the Lie Algebra on Colored Graphs and Multicolored Johnson Graphs
Leonid Bedratyuk
The paper studies the action of the Lie algebra sl_n on the space of (n‑1)-colored graphs on a fixed set of vertices, identifies this space with a tensor power, and uses representa…
The Graph Algebra I: Representation-Theoretic Structure
Leonid Bedratyuk
The paper studies the graph algebra whose monomial basis is naturally indexed by simple graphs on a fixed set of vertices. This algebra is at the same time the algebra of pseudo-Bo…
Discrete Moving Frames, Semi-Algebraic Invariants and the Graph Canonization Problem
Leonid Bedratyuk
This paper develops an invariant--geometric interpretation of the canonization problem for simple undirected weighted graphs based on the {discrete moving frame method} for finite…
Relative Invariants from Moving Frames on an Extended Manifold
Leonid Bedratyuk
A constructive modification of the moving frame method is developed in this paper for the construction of relative invariants of regular Lie group actions. Let a relative invariant…
Joint Projective Invariants on First Jet Spaces of Point Configurations via Moving Frames
Leonid Bedratyuk
We consider the action of the projective group on the -fold first-order jet space of point configurations on the plane. Using the method of moving frames, we…
First order joint differential projective invariants
Leonid Bedratyuk
We present a complete algebraic description of the field of first-order joint projective invariants for configurations of \( n \) points in the plane, under the natural diagonal ac…