Abstract
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.
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