A Difference Formula for Tensor-power Multiplicities
Representation Theory
2025-12-09 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
A novel combinatorial formula is developed for for tensor product multiplicities in representation theory. We introduce a difference formula linking these multiplicities to restricted occupancy coefficients via a shifted operator. This method is extended to derive branching rules for subalgebras and is conjecturally applied to A-type Lie superalgebras.
Cite
@article{arxiv.2512.07586,
title = {A Difference Formula for Tensor-power Multiplicities},
author = {Hongfei Shu and Peng Zhao and Rui-Dong Zhu and Hao Zou},
journal= {arXiv preprint arXiv:2512.07586},
year = {2025}
}
Comments
27 pages + appendices