Séminaire Lotharingien de Combinatoire, 86B.26 (2022), 12 pp.
Jehanne Dousse and Isaac Konan
Multi-Grounded Partitions and Character Formulas
Abstract.
We introduce a new generalisation of partitions, multi-grounded partitions,
related to ground state paths indexed by dominant weights of Lie algebras.
We use these to express characters of irreducible highest weight
modules of Kac-Moody algebras of affine type as generating functions for
multi-grounded partitions, and obtain new non-specialised character formulas.
Received: November 25, 2021.
Accepted: March 4, 2022.
Final version: April 1, 2022.
The following versions are available: