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6 Internal symmetric algebra
 6.1 Attributes

  6.1-1 SymmetricAlgebraAsZFunction
  6.1-2 SymmetricAlgebraMultiplicationListList
  6.1-3 SymmetricAlgebra
  6.1-4 SymmetricAlgebraMultiplicationMorphism
  6.1-5 SymmetricAlgebraAsLeftModule
  6.1-6 SymmetricAlgebraAsRightModule
 6.2 GAP Categories

  6.2-1 IsInternalSymmetricAlgebra

6 Internal symmetric algebra

6.1 Attributes

6.1-1 SymmetricAlgebraAsZFunction
‣ SymmetricAlgebraAsZFunction( V )( attribute )

Returns: an infinite list

6.1-2 SymmetricAlgebraMultiplicationListList
‣ SymmetricAlgebraMultiplicationListList( V )( attribute )

Returns: a list of lists of morphisms

6.1-3 SymmetricAlgebra
‣ SymmetricAlgebra( V )( attribute )

Returns: a CAP category object (IsObjectInPositivelyZGradedClosureCategory)

6.1-4 SymmetricAlgebraMultiplicationMorphism
‣ SymmetricAlgebraMultiplicationMorphism( V )( attribute )

Returns: a CAP category morphism (IsMorphismInPositivelyZGradedClosureCategory)

6.1-5 SymmetricAlgebraAsLeftModule
‣ SymmetricAlgebraAsLeftModule( V )( attribute )

Returns: a CAP object morphism in the filter IsCategoryOfLeftSModules

6.1-6 SymmetricAlgebraAsRightModule
‣ SymmetricAlgebraAsRightModule( V )( attribute )

Returns: a CAP object morphism in the filter IsCategoryOfRightSModules

6.2 GAP Categories

6.2-1 IsInternalSymmetricAlgebra
‣ IsInternalSymmetricAlgebra( arg )( filter )

Returns: true or false

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