Quiver Generalization of a Conjecture of King, Tollu, and Toumazet

TL;DR

This paper generalizes a known property of Littlewood-Richardson coefficients to the context of quiver representations, providing a geometric proof for the broader case.

Contribution

It extends a classical combinatorial result to quiver representations and offers a geometric proof for this generalization.

Findings

Proves a generalized conjecture for quiver representations.

Establishes a geometric proof technique for the conjecture.

Connects Littlewood-Richardson coefficients with quiver theory.

Abstract

Stretching the parameters of a Littlewood-Richardson coefficient of value 2 by a factor of n results in a coefficient of value n+1. We give a geometric proof of a generalization for representations of quivers.