Eoghan McDowell

collaborators

2 papers

math.RT2025

An explicit construction of the Weyl module as a quotient of symmetric tensors by dual Garnir relations

Eoghan McDowell

The Weyl modules are the standard modules for the Schur algebra. Their duals (the costandard modules) have well-known constructions as quotients of exterior powers and as submodule…

math.CO2022

Large $p$ -core $p^{'}$ -partitions and walks on the additive residue graph

Eoghan McDowell

This paper investigates partitions which have neither parts nor hook lengths divisible by $p$ , referred to as $p$ -core $p^{'}$ -partitions. We show that the largest $p$ -core $p^{'}$ -parti…

An explicit construction of the Weyl module as a quotient of symmetric tensors by dual Garnir relations

Large p-core p′-partitions and walks on the additive residue graph

Large $p$ -core $p^{'}$ -partitions and walks on the additive residue graph