Invariant tensors and graphs

TL;DR

This paper establishes a correspondence between invariant tensors under the general linear group and graph structures, highlighting how different symmetries and orientations can be incorporated into this framework.

Contribution

It introduces a novel correspondence linking GL_n-invariant tensors to graphs, accommodating various symmetries and orientations.

Findings

Provides a graph-based representation of invariant tensors

Shows how symmetries and orientations are integrated

Facilitates understanding of tensor invariants through graph theory

Abstract

We describe a correspondence between GL_n-invariant tensors and graphs, and show how this correspondence accomodates various types of symmetries and orientations.