We introduce the package
HighestWeights for Macaulay2. This package provides tools
to study the representation-theoretic structure of free resolutions and graded modules
over a polynomial ring with the action of a semisimple Lie group. The methods of
this package allow users to consider the free modules in a resolution, or the graded
components of a module, as representations of a semisimple Lie group by
means of their weights, and to obtain their decomposition into highest-weight
representations.
