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arXiv · 2410.03400

Composition Multiplicities of Tensor Products and Branching Multiplicities for $\text{GL}(n)$

Miriam G Norris
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Abstract

Following work of Brundan and Kleshchev (2000), which considered tensor products with the natural module (and its dual) for $\text{GL}(n)$, we take the next fundamental module and explore the relationship between multiplicities of composition factors of tensor products of simple modules for $\text{GL}(n)$ and branching multiplicities. In doing this we provide a method for determining the composition multiplicities for some composition factors of tensor products of simple modules with the wedge square of the dual natural module.

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BibTeXRIS

Miriam G Norris. 2024-10-04. Composition Multiplicities of Tensor Products and Branching Multiplicities for $\text{GL}(n)$. https://arxiv.org/abs/2410.03400

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