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