/
InvariantRing.m2
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InvariantRing.m2
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-*
Copyright 2020, Luigi Ferraro, Federico Galetto,
Francesca Gandini, Hang Huang, Matthew Mastroeni, Xianglong Ni.
You may redistribute this file under the terms of the GNU General Public
License as published by the Free Software Foundation, either version 2 of
the License, or any later version.
*-
newPackage(
"InvariantRing",
Version => "2.0",
Date => "November 11, 2020",
Authors => {
{Name => "Luigi Ferraro",
Email => "lferraro@ttu.edu",
HomePage => "http://www.math.ttu.edu/~lferraro/"
},
{Name => "Federico Galetto",
Email => "f.galetto@csuohio.edu",
HomePage => "https://math.galetto.org"
},
{Name => "Francesca Gandini",
Email => "fra.gandi.phd@gmail.com",
HomePage => "https://sites.google.com/a/umich.edu/gandini/home"
},
{Name => "Hang Huang",
Email => "hhuang235@tamu.edu",
HomePage => "https://math.tamu.edu/~hhuang"
},
{Name => "Thomas Hawes", Email => "thomas.hawes@maths.ox.ac.uk"},
{Name => "Matthew Mastroeni",
Email => "mmastro@okstate.edu",
HomePage => "https://mnmastro.github.io/"
},
{Name => "Xianglong Ni",
Email => "xlni@berkeley.edu",
HomePage => "https://math.berkeley.edu/~xlni/"}
},
Headline => "invariants of group actions",
Keywords => {"Representation Theory", "Group Theory"},
Certification => {
"journal name" => "The Journal of Software for Algebra and Geometry",
"journal URI" => "http://j-sag.org/",
"article title" => "Computing the invariant ring of a finite group",
"acceptance date" => "2013-05-16",
"published article URI" => "http://j-sag.org/Volume5/jsag-3-2013.pdf",
"published code URI" => "http://j-sag.org/Volume5/InvariantRing.m2",
"repository code URI" => "http://github.com/Macaulay2/M2/blob/master/M2/Macaulay2/packages/InvariantRing.m2",
"release at publication" => "68f41d641fadb0a1054023432eb60177f1d7cbd9",
"version at publication" => "1.1.0",
"volume number" => "5",
"volume URI" => "http://j-sag.org/Volume5/"
},
AuxiliaryFiles => true,
DebuggingMode => false
)
export {
"GroupAction",
"finiteAction",
"FiniteGroupAction",
"group",
"isAbelian",
"permutationMatrix",
"schreierGraph",
"words",
"cyclicFactors",
"DiagonalAction",
"diagonalAction",
"equivariantHilbert",
"equivariantHilbertSeries",
"weights",
"actionMatrix",
"groupIdeal",
"hilbertIdeal",
"linearlyReductiveAction",
"LinearlyReductiveAction",
"action",
"definingIdeal",
"DegreeBound",
"invariants",
"invariantRing",
"isInvariant",
"reynoldsOperator",
"UseLinearAlgebra",
"RingOfInvariants",
"UseCoefficientRing",
"UseNormaliz",
"UsePolyhedra",
"hironakaDecomposition",
"molienSeries",
"primaryInvariants",
"secondaryInvariants",
"Dade",
"DegreeVector",
"PrintDegreePolynomial"
}
needsPackage("Elimination")
needsPackage("Normaliz")
needsPackage("Polyhedra")
GroupAction = new Type of HashTable
-------------------------------------------
--- GroupAction methods -------------------
-------------------------------------------
ring GroupAction := Ring => G -> G.ring
dim GroupAction := ZZ => G -> dim ring G
-------------------------------------------
--- LOAD AUXILIARY FILES ------------------
-------------------------------------------
load "./InvariantRing/FiniteGroups.m2"
load "./InvariantRing/AbelianGroups.m2"
load "./InvariantRing/LinearlyReductiveGroups.m2"
load "./InvariantRing/Invariants.m2"
load "./InvariantRing/Hawes.m2"
beginDocumentation()
load "./InvariantRing/InvariantRingDoc.m2"
load "./InvariantRing/FiniteGroupsDoc.m2"
load "./InvariantRing/AbelianGroupsDoc.m2"
load "./InvariantRing/LinearlyReductiveGroupsDoc.m2"
load "./InvariantRing/InvariantsDoc.m2"
load "./InvariantRing/HawesDoc.m2"
load "./InvariantRing/Tests.m2"
end