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11 Symmetric Algebra and Koszul Complex
 11.1 Symmetric Algebra: Constructor
 11.2 Symmetric Algebra: Properties and Attributes

11 Symmetric Algebra and Koszul Complex

11.1 Symmetric Algebra: Constructor

11.1-1 SymmetricPower
‣ SymmetricPower( k, M )( operation )

Returns: a homalg module

Construct the k-th exterior power of module M.

11.2 Symmetric Algebra: Properties and Attributes

11.2-1 IsSymmetricPower
‣ IsSymmetricPower( M )( property )

Returns: true or false

Marks a module as an symmetric power of another module.

11.2-2 SymmetricPowerExponent
‣ SymmetricPowerExponent( M )( attribute )

Returns: an integer

The exponent of the symmetric power.

11.2-3 SymmetricPowerBaseModule
‣ SymmetricPowerBaseModule( M )( attribute )

Returns: a homalg module

The module that M is an symmetric power of.

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