Lie Conformal Algebras With Basis¶
AUTHORS:
Reimundo Heluani (2019-10-05): Initial implementation.
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class
sage.categories.lie_conformal_algebras_with_basis.
LieConformalAlgebrasWithBasis
(base_category)¶ Bases:
sage.categories.category_with_axiom.CategoryWithAxiom_over_base_ring
The category of Lie conformal algebras with basis.
EXAMPLES:
sage: LieConformalAlgebras(QQbar).WithBasis() Category of Lie conformal algebras with basis over Algebraic Field
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class
FinitelyGeneratedAsLambdaBracketAlgebra
(base_category)¶ Bases:
sage.categories.category_with_axiom.CategoryWithAxiom_over_base_ring
The category of finitely generated Lie conformal algebras with basis.
EXAMPLES:
sage: C = LieConformalAlgebras(QQbar) sage: C.WithBasis().FinitelyGenerated() Category of finitely generated Lie conformal algebras with basis over Algebraic Field sage: C.WithBasis().FinitelyGenerated() is C.FinitelyGenerated().WithBasis() True
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class
Graded
(base_category)¶ Bases:
sage.categories.graded_lie_conformal_algebras.GradedLieConformalAlgebrasCategory
The category of H-graded finitely generated Lie conformal algebras with basis.
EXAMPLES:
sage: LieConformalAlgebras(QQbar).WithBasis().FinitelyGenerated().Graded() Category of H-graded finitely generated Lie conformal algebras with basis over Algebraic Field
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class
Super
(base_category)¶ Bases:
sage.categories.super_modules.SuperModulesCategory
The category of super finitely generated Lie conformal algebras with basis.
EXAMPLES:
sage: LieConformalAlgebras(AA).WithBasis().FinitelyGenerated().Super() Category of super finitely generated Lie conformal algebras with basis over Algebraic Real Field
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class
Graded
(base_category)¶ Bases:
sage.categories.graded_modules.GradedModulesCategory
The category of H-graded super finitely generated Lie conformal algebras with basis.
EXAMPLES:
sage: C = LieConformalAlgebras(QQbar).WithBasis().FinitelyGenerated() sage: C.Graded().Super() Category of H-graded super finitely generated Lie conformal algebras with basis over Algebraic Field sage: C.Graded().Super() is C.Super().Graded() True
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class
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class
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class
Graded
(base_category)¶ Bases:
sage.categories.graded_lie_conformal_algebras.GradedLieConformalAlgebrasCategory
The category of H-graded Lie conformal algebras with basis.
EXAMPLES:
sage: LieConformalAlgebras(QQbar).WithBasis().Graded() Category of H-graded Lie conformal algebras with basis over Algebraic Field
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class
Super
(base_category)¶ Bases:
sage.categories.super_modules.SuperModulesCategory
The category of super Lie conformal algebras with basis.
EXAMPLES:
sage: LieConformalAlgebras(AA).WithBasis().Super() Category of super Lie conformal algebras with basis over Algebraic Real Field
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class
Graded
(base_category)¶ Bases:
sage.categories.graded_lie_conformal_algebras.GradedLieConformalAlgebrasCategory
The category of H-graded super Lie conformal algebras with basis.
EXAMPLES:
sage: LieConformalAlgebras(QQbar).WithBasis().Super().Graded() Category of H-graded super Lie conformal algebras with basis over Algebraic Field
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ParentMethods
¶ Bases:
object
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