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() # optional - sage.rings.number_field 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) # optional - sage.rings.number_field sage: CWF = C.WithBasis().FinitelyGenerated(); CWF # optional - sage.rings.number_field Category of finitely generated Lie conformal algebras with basis over Algebraic Field sage: CWF is C.FinitelyGenerated().WithBasis() # optional - sage.rings.number_field 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() # optional - sage.rings.number_field 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() # optional - sage.rings.number_field 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() # optional - sage.rings.number_field sage: C.Graded().Super() # optional - sage.rings.number_field Category of H-graded super finitely generated Lie conformal algebras with basis over Algebraic Field sage: C.Graded().Super() is C.Super().Graded() # optional - sage.rings.number_field True
- class Graded(base_category)#
Bases:
GradedLieConformalAlgebrasCategory
The category of H-graded Lie conformal algebras with basis.
EXAMPLES:
sage: LieConformalAlgebras(QQbar).WithBasis().Graded() # optional - sage.rings.number_field 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() # optional - sage.rings.number_field 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() # optional - sage.rings.number_field Category of H-graded super Lie conformal algebras with basis over Algebraic Field
- class ParentMethods#
Bases:
object