Finitely Generated Lie Conformal Algebras

AUTHORS:

• Reimundo Heluani (2019-10-05): Initial implementation.

class sage.categories.finitely_generated_lie_conformal_algebras.FinitelyGeneratedLieConformalAlgebras(base_category)

Bases: CategoryWithAxiom_over_base_ring

The category of finitely generated Lie conformal algebras.

EXAMPLES:

sage: LieConformalAlgebras(QQbar).FinitelyGenerated()
Category of finitely generated lie conformal algebras over Algebraic Field

class Graded(base_category)

Bases: GradedModulesCategory

The category of H-graded finitely generated Lie conformal algebras.

EXAMPLES:

sage: LieConformalAlgebras(QQbar).FinitelyGenerated().Graded()
Category of H-graded finitely generated lie conformal algebras over Algebraic Field

class ParentMethods

Bases: object

some_elements()

Some elements of this Lie conformal algebra.

Returns a list with elements containing at least the generators.

EXAMPLES:

sage: V = lie_conformal_algebras.Affine(QQ, 'A1', names=('e', 'h', 'f'))
sage: V.some_elements()
[e, h, f, K, ...]
sage: all(v.parent() is V for v in V.some_elements())
True

class Super(base_category)

Bases: SuperModulesCategory

The category of super finitely generated Lie conformal algebras.

EXAMPLES:

sage: LieConformalAlgebras(AA).FinitelyGenerated().Super()
Category of super finitely generated lie conformal algebras over Algebraic Real Field

class Graded(base_category)

Bases: GradedModulesCategory

The category of H-graded super finitely generated Lie conformal algebras.

EXAMPLES:

sage: LieConformalAlgebras(QQbar).FinitelyGenerated().Super().Graded()
Category of H-graded super finitely generated lie conformal algebras over Algebraic Field