Finite group actions on free resolutions and modules arise naturally in many
interesting examples. Understanding these actions amounts to describing the terms of
a free resolution or the graded components of a module as group representations
which, in the nonmodular case, are completely determined by their characters. With
this goal in mind, we introduce a Macaulay2 package for computing characters of
finite groups on free resolutions and graded components of finitely generated graded
modules over polynomial rings.
Keywords
Macaulay2, equivariant resolution, finite group, Betti
character
