paper

A Difference Formula for Tensor-power Multiplicities

arXiv:2512.07586

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.

27 pages + appendices

A Difference Formula for Tensor-power Multiplicities · wovepaper