Examples of a Lie algebra with basis¶
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sage.categories.examples.lie_algebras_with_basis.
AbelianLieAlgebra
¶ An example of a Lie algebra: the abelian Lie algebra.
This class illustrates a minimal implementation of a Lie algebra with a distinguished basis.
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sage.categories.examples.lie_algebras_with_basis.
Example
¶ An example of a Lie algebra: the abelian Lie algebra.
This class illustrates a minimal implementation of a Lie algebra with a distinguished basis.
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sage.categories.examples.lie_algebras_with_basis.
IndexedPolynomialRing
¶ Polynomial ring whose generators are indexed by an arbitrary set.
Todo
Currently this is just used as the universal enveloping algebra for the example of the abelian Lie algebra. This should be factored out into a more complete class.