Setting the scene for Betti characters

Abstract

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 non modular 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.

arXiv comment7 pages

References in corpus (10)

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• Pieri resolutions for classical groups
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• Betti numbers of symmetric shifted ideals
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