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arXiv · 2312.11368

ExteriorExtensions: A package for Macaulay2

Luke Oeding
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Abstract

We explain a Macaulay2 implementation of a construction, which appeared in [Holweck-Oeding arXiv:2206.13662], of a graded algebra structure on the direct sum of a Lie algebra $\mathfrak{g}$ (typically $\mathfrak{sl}_n$) and a $\mathfrak{g}$-module (typically a subspace of an exterior algebra $\bigwedge^{\bullet}\mathbb{C}^n$). We implement brackets, a Killing form, matrix representations of adjoint operators and ranks of blocks of their powers.

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Luke Oeding. 2023-12-18. ExteriorExtensions: A package for Macaulay2. https://doi.org/10.2140/jsag.2025.15.69

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