Finitely Generated Lie Conformal Algebras¶
AUTHORS:
Reimundo Heluani (2019-10-05): Initial implementation.
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class
sage.categories.finitely_generated_lie_conformal_algebras.
FinitelyGeneratedLieConformalAlgebras
(base_category)¶ Bases:
sage.categories.category_with_axiom.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
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class
Graded
(base_category)¶ Bases:
sage.categories.graded_modules.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
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class
ParentMethods
¶ Bases:
object
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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, Th + 4*T^(2)e, 4*T^(2)h, Te + 4*T^(2)e, Te + 4*T^(2)h]
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class
Super
(base_category)¶ Bases:
sage.categories.super_modules.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
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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.
EXAMPLES:
sage: LieConformalAlgebras(QQbar).FinitelyGenerated().Super().Graded() Category of H-graded super finitely generated lie conformal algebras over Algebraic Field
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class
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class