Graded Lie Algebras With Basis#

class sage.categories.graded_lie_algebras_with_basis.GradedLieAlgebrasWithBasis(base_category)#

Bases: sage.categories.graded_modules.GradedModulesCategory

The category of graded Lie algebras with a distinguished basis.

EXAMPLES:

sage: C = LieAlgebras(ZZ).WithBasis().Graded(); C
Category of graded lie algebras with basis over Integer Ring
sage: C.super_categories()
[Category of graded modules with basis over Integer Ring,
 Category of lie algebras with basis over Integer Ring,
 Category of graded Lie algebras over Integer Ring]

sage: C is LieAlgebras(ZZ).WithBasis().Graded()
True
sage: C is LieAlgebras(ZZ).Graded().WithBasis()
False

FiniteDimensional#: alias of sage.categories.finite_dimensional_graded_lie_algebras_with_basis.FiniteDimensionalGradedLieAlgebrasWithBasis