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arXiv · 2512.07586

A Difference Formula for Tensor-power Multiplicities

Hongfei Shu·Peng Zhao·Rui-Dong Zhu·Hao Zou
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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.

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Hongfei Shu, Peng Zhao, Rui-Dong Zhu, Hao Zou. 2025-12-08. A Difference Formula for Tensor-power Multiplicities. https://arxiv.org/abs/2512.07586

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