Crystals for Kostant-Kumar modules of $\widehat{\mathfrak{sl}_2}$
Representation Theory
2024-09-17 v1
Abstract
We consider the affine Lie algebra and the Kostant-Kumar submodules of tensor products of its level 1 highest weight integrable representations. We construct crystals for these submodules in terms of the charged partitions model and describe their decomposition into irreducibles.
Cite
@article{arxiv.2409.09328,
title = {Crystals for Kostant-Kumar modules of $\widehat{\mathfrak{sl}_2}$},
author = {Mrigendra Singh Kushwaha and K. N. Raghavan and Sankaran Viswanath},
journal= {arXiv preprint arXiv:2409.09328},
year = {2024}
}
Comments
26 pages