Composition Multiplicities of Tensor Products and Branching Multiplicities for $\text{GL}(n)$
Representation Theory
2024-10-07 v1 Group Theory
Abstract
Following work of Brundan and Kleshchev (2000), which considered tensor products with the natural module (and its dual) for , we take the next fundamental module and explore the relationship between multiplicities of composition factors of tensor products of simple modules for 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.
Cite
@article{arxiv.2410.03400,
title = {Composition Multiplicities of Tensor Products and Branching Multiplicities for $\text{GL}(n)$},
author = {Miriam G Norris},
journal= {arXiv preprint arXiv:2410.03400},
year = {2024}
}