Setting the scene for Betti characters

Federico Galetto

doi:10.2140/JSAG.2023.13.45

Setting the scene for Betti characters

Federico Galetto

Research output: Contribution to journal › Article › peer-review

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 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.

Original language	English
Pages (from-to)	45-51
Number of pages	7
Journal	Journal of Software for Algebra and Geometry
Volume	13
Issue number	1
DOIs	https://doi.org/10.2140/JSAG.2023.13.45
State	Published - Jan 1 2023

Keywords

Betti character
Macaulay2
equivariant resolution
finite group

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10.2140/JSAG.2023.13.45

Cite this

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AB - 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.

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KW - equivariant resolution

KW - finite group

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Setting the scene for Betti characters

Abstract

Keywords

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Cite this