Level 2 standard modules for $A^{(2)}_{9}$ and partition conditions of Kanade-Russell
Representation Theory
2023-09-07 v3
Abstract
We give -monomial generators for the vacuum spaces of certain level 2 standard modules of type with indices running over integer partitions. In particular, we give a Lie theoretic interpretation of the Rogers-Ramanujan type identities of type , which were conjectured by Kanade-Russell, and proven by Bringmann et al. and Rosengren.
Keywords
Cite
@article{arxiv.2211.03652,
title = {Level 2 standard modules for $A^{(2)}_{9}$ and partition conditions of Kanade-Russell},
author = {Kana Ito},
journal= {arXiv preprint arXiv:2211.03652},
year = {2023}
}