A Combinatorial Approach to Root Multiplicities of a Special Type Rank 3 Kac-Moody Algebras

Bowen Chen, Hanyi Luo, Hao Sun

In this paper, we calculate the dimension of root spaces ${\mathfrak{g}}_{\lambda }$ of a special type rank $3$ Kac-Moody algebras $\mathfrak{g}$. We first introduce a special type of element…