Séminaire Lotharingien de Combinatoire, 93B.17 (2025), 12 pp.
Mitsuki Hanada
A Charge Monomial Basis of the Garsia-Procesi Ring
Abstract.
We construct a basis of the Garsia-Procesi ring using the catabolizability type of standard Young tableaux and the charge statistic, providing the first direct connection between the structure of the Garsia-Procesi ring and the catabolizability formula for the modified Hall-Littlewood polynomial that gives its graded Frobenius character.
Received: November 15, 2024.
Accepted: February 15, 2025.
Final version: April 1, 2025.
The following versions are available: