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.