A representation type of compression space of rank 2

TL;DR

This paper establishes a mathematical equivalence between compression spaces of rank 2 and irreducible representations over Lie algebras, providing a new theoretical insight into the structure of such spaces.

Contribution

The paper proves that compression spaces of rank 2 are equivalent to irreducible Lie algebra representations, offering a novel theoretical characterization.

Findings

Compression space of rank 2 is equivalent to an irreducible Lie algebra representation.

Provides a new theoretical framework for understanding rank 2 compression spaces.

Advances the mathematical understanding of the structure of compression spaces.

Abstract

In this paper, we proved that a compression space of rank $2$ is equivalent to an irreducible representation over a Lie algebra.