A New Grounded Partition Identity of Type $D_4^{(3)}$
Abstract
In this paper, we prove a new Rogers-Ramanujan-type identity, involving grounded partitions, by computing a character of the affine Kac-Moody algebra $D_4^{(3)}$ in two different ways. The product side is derived using Lepowsky's product formula, while the sum side is obtained using perfect crystals with a technique of Dousse and Konan.
Fields of Study & Subjects
Advanced Algebra and Geometry
Advanced Mathematical Identities
Finite Group Theory Research
Publication details
- Journal / source
- Symmetry Integrability and Geometry Methods and Applications
- Publication date
- 30 April 2026
- Language
- EN