Spin Multipartitions
Combinatorics
2025-03-19 v2 Representation Theory
Abstract
We conjecture an algorithm to construct spin multipartitions and prove that all the level one Fock spaces using our combinatorics are modules over the quantum enveloping algebra.
Cite
@article{arxiv.2409.02801,
title = {Spin Multipartitions},
author = {Ola Amara-Omari and Mary Schaps},
journal= {arXiv preprint arXiv:2409.02801},
year = {2025}
}
Comments
30 pages. This version proves that the level one Fock spaces satisfy all the relations for a module over the quantum enveloping algebra, including an explicit proof of the quantized Serre relations