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1 The graded category of exterior powers of objects of a given Ab-category
 1.1 GAP Categories
 1.2 Attributes
 1.3 Constructors

1 The graded category of exterior powers of objects of a given Ab-category

1.1 GAP Categories

1.1-1 IsExteriorPowersCategory
‣ IsExteriorPowersCategory( object )( filter )

Returns: true or false

The GAP category of cells in an exterior powers category

1.1-2 IsCellInExteriorPowersCategory
‣ IsCellInExteriorPowersCategory( object )( filter )

Returns: true or false

The GAP category of cells in an exterior powers category

1.1-3 IsObjectInExteriorPowersCategory
‣ IsObjectInExteriorPowersCategory( object )( filter )

Returns: true or false

The GAP category of objects in an exterior powers category

1.1-4 IsMorphismInExteriorPowersCategory
‣ IsMorphismInExteriorPowersCategory( morphism )( filter )

Returns: true or false

The GAP category of morphisms in an exterior powers category

1.2 Attributes

1.2-1 UnderlyingCell
‣ UnderlyingCell( c )( attribute )

Returns: a CAP category object or listlist

The CAP category object or listlist of CAP category morphisms underlying the cell (=object or morphism) c.

1.2-2 DegreeOfObject
‣ DegreeOfObject( M )( attribute )

Returns: an integer

The degree in which the underlying object of M is placed.

1.2-3 DegreeOfMorphism
‣ DegreeOfMorphism( phi )( attribute )

Returns: a nonnegative integer

The degree of the morphism phi.

1.3 Constructors

1.3-1 ExteriorPowersCategory
‣ ExteriorPowersCategory( l, C )( operation )

Returns: a CAP category

Construct the category of exterior powers of l copies of objects in the category C.

1.3-2 ObjectInExteriorPowersCategory
‣ ObjectInExteriorPowersCategory( M, degree, EC )( operation )

Returns: a CAP object

Construct an object in an exterior powers category

1.3-3 *
‣ *( R, cell )( operation )

Returns: a CAP cell

Tensorize cell with the ring R.

1.3-4 MorphismInExteriorPowersCategory
‣ MorphismInExteriorPowersCategory( S, L, T )( operation )

Returns: a CAP morphism

Construct a morphism in an exterior powers category

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