Lie Conformal Algebras With Basis#
AUTHORS:
Reimundo Heluani (2019-10-05): Initial implementation.
- class sage.categories.lie_conformal_algebras_with_basis.LieConformalAlgebrasWithBasis(base_category)#
Bases:
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
- class FinitelyGeneratedAsLambdaBracketAlgebra(base_category)#
Bases:
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
- class Graded(base_category)#
Bases:
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
- class Super(base_category)#
Bases:
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
- class Graded(base_category)#
Bases:
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
- class Graded(base_category)#
Bases:
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
- class Super(base_category)#
Bases:
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
- class Graded(base_category)#
Bases:
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
- class ParentMethods#
Bases:
object