A particular case of the Level increasing Conjecture for Type A fusion algebras

TL;DR

This paper proves a specific case of the level increasing conjecture for type A fusion coefficients, focusing on when one weight is a multiple of the first fundamental weight, advancing understanding in algebraic fusion theory.

Contribution

It establishes a proof for a particular case of the level increasing conjecture in type A fusion algebras involving specific weight conditions.

Findings

Proof of the conjecture for weights as multiples of the first fundamental weight

Advancement in understanding fusion coefficients in type A algebras

Provides a basis for further generalizations

Abstract

A particular case of the level increasing conjecture for type A fusion coefficientes is proved for when one the weights is a multiple of the first fundamental weight.