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Generalized Conjugacy Class #1136

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Generalized Conjugacy Class #1136

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3fc3221
Organizing
JosephDayngerRuiz Jan 21, 2026
0606b53
Preparing display string to be agnostic of characteristic
JosephDayngerRuiz Jan 21, 2026
5bd5b4f
Removing code duplication Start
JosephDayngerRuiz Jan 21, 2026
760fd92
Missed semicolon
JosephDayngerRuiz Jan 21, 2026
06c20fd
Uniform application of table making
JosephDayngerRuiz Jan 21, 2026
1ed8d4b
Update cartan.tst
JosephDayngerRuiz Jan 21, 2026
af13542
Visually separating blocks of code
JosephDayngerRuiz Jan 21, 2026
625ad59
Added all planned declarations
JosephDayngerRuiz Jan 21, 2026
53d83f6
Rethinking declarations
JosephDayngerRuiz Jan 21, 2026
8802d84
Merge branch 'semigroups:main' into Finite-Field-Cartan
JosephDayngerRuiz Apr 16, 2026
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29 changes: 27 additions & 2 deletions gap/attributes/cartan.gd
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Original file line number Diff line number Diff line change
Expand Up @@ -16,10 +16,21 @@ DeclareOperation("GeneralizedConjugacyClass",
[IsSemigroup, IsMultiplicativeElement]);
DeclareAttribute("GeneralizedConjugacyClassesRepresentatives", IsSemigroup);
DeclareAttribute("GeneralizedConjugacyClasses", IsSemigroup);

DeclareCategory("IsMonoidCharacterTable", IsObject);
DeclareAttribute("ParentAttr", IsMonoidCharacterTable);
DeclareAttribute("Irr", IsMonoidCharacterTable);
# DeclareAttribute("ComputedMonoidBrauerTables", IsMonoidCharacterTable); # todo
DeclareAttribute("MonoidCharacterTable", IsSemigroup);

# # todo block
# DeclareCategory("IsMonoidBrauerTable", IsObject);
# DeclareAttribute("MonoidCharacterTable", IsMonoidBrauerTable);
# DeclareAttribute("Irr", IsMonoidBrauerTable);
# DeclareAttribute("UnderlyingCharacteristic", IsMonoidBrauerTable);
# DeclareAttribute("UnderlyingField", IsMonoidBrauerTable);
# # todo end block

DeclareCategory("IsMonoidCharacter", IsObject);
DeclareOperation("MonoidCharacter", [IsMonoidCharacterTable, IsList]);
DeclareOperation("PimMonoidCharacter",
Expand All @@ -28,16 +39,30 @@ DeclareAttribute("ParentAttr", IsMonoidCharacter);
DeclareAttribute("ValuesOfMonoidClassFunction", IsMonoidCharacter);
DeclareAttribute("ProjectiveCoverOf", IsMonoidCharacter);
DeclareAttribute("ValuesOfCompositionFactorsFunction", IsMonoidCharacter);

# # todo block
# DeclareCategory("IsMonoidModularCharacter", IsObject);
# DeclareOperation("MonoidModularCharacter", [IsMonoidBrauerTable, IsList]);
# DeclareOperation("PimMonoidModularCharacter",
# [IsMonoidBrauerTable, IsDenseList, IsMonoidModularCharacter]);
# DeclareAttribute("ParentAttr", IsMonoidModularCharacter);
# DeclareAttribute("ValuesOfMonoidPClassFunction", IsMonoidCharacter);
# DeclareAttribute("ProjectiveCoverOf", IsMonoidModularCharacter);
# DeclareAttribute("ValuesOfCompositionFactorsFunction",
# IsMonoidModularCharacter);
# # todo end block

DeclareAttribute("DClassBicharacter", IsGreensDClass);
DeclareAttribute("RegularRepresentationBicharacter", IsSemigroup);
DeclareAttribute("RClassBicharacterOfGroupHClass", IsGroupHClass);
DeclareAttribute("RClassRadicalOfGroupHClass", IsGroupHClass);
DeclareAttribute("RClassRadicalBicharacterOfGroupHClass", IsGroupHClass);
DeclareAttribute("BlockDiagonalMatrixOfCharacterTables", IsSemigroup);
DeclareAttribute("Irr", IsMonoidCharacterTable);

DeclareCategory("IsMonoidCartanMatrix", IsObject);
DeclareAttribute("ParentAttr", IsMonoidCartanMatrix);
DeclareAttribute("MonoidCartanMatrix", IsSemigroup);

DeclareAttribute("Pims", IsMonoidCartanMatrix);
DeclareAttribute("Pims", IsMonoidCartanMatrix);

DeclareOperation("PrepareTableDisplay", [IsList, IsString, IsString]);
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