ExteriorExtensions: a package for Macaulay2
Luke Oeding · Journal of Software for Algebra and Geometry · 2025
We explain a Macaulay2 implementation of a construction, which appeared in [4], of a graded algebra structure on the direct sum of a Lie algebra g (typically sl n ) and a g-module (typically a subspace of an exterior algebra • ރ n ).We implement brackets, a Killing form, matrix representations of adjoint operators, and ranks of blocks of their powers.