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The face semigroup algebra of a hyperplane arrangement is implemented as an instance of the FiniteDimensionalAlgebra. We should first provide a direct implementation of the face semigroup as a stand-alone parent. Then using that, we should implement a custom class for the algebra (possibly a subclass of FiniteDimensionalAlgebra, but the most likely candidate would be as a subclass of CombinatorialFreeModule whose basis is the semigroup). This will give it more features and a direct link to the hyperplane arrangement.
The text was updated successfully, but these errors were encountered:
The face semigroup algebra of a hyperplane arrangement is implemented as an instance of the
FiniteDimensionalAlgebra
. We should first provide a direct implementation of the face semigroup as a stand-alone parent. Then using that, we should implement a custom class for the algebra (possibly a subclass ofFiniteDimensionalAlgebra
, but the most likely candidate would be as a subclass ofCombinatorialFreeModule
whose basis is the semigroup). This will give it more features and a direct link to the hyperplane arrangement.The text was updated successfully, but these errors were encountered: