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SchurFunctors :: SchurFunctors

SchurFunctors -- for computing Schur functors

Authors

Version

This documentation describes version 0.1 of SchurFunctors.

Source code

The source code from which this documentation is derived is in the file SchurFunctors.m2. The auxiliary files accompanying it are in the directory SchurFunctors/.

Exports

  • Types
    • Filling (missing documentation)
  • Functions and commands
    • augmentFilling (missing documentation)
    • character -- Determines the character of a compostion of schur functors applied to the representation of GL(V) on V
    • characterRep (missing documentation)
    • decomposeRep (missing documentation)
    • printSchurModuleElement (missing documentation)
    • schur -- creates a map between Schur modules
    • schurModule -- creates Schur module from a partition and free module
    • schurModulesMap -- creates a map between two Schur modules via the specified function.
    • splitCharacter -- Decomposes a symmetric polynomial as a sum of schur functions
    • straighten -- Given a tableau of shape lambda express it as a linear combination of SST in the given schur Module
  • Methods
    • "character(List,ZZ)" -- see character -- Determines the character of a compostion of schur functors applied to the representation of GL(V) on V
    • "schur(List,Matrix)" -- see schur -- creates a map between Schur modules
    • "schurModule(List,Module)" -- see schurModule -- creates Schur module from a partition and free module
    • "schurModulesMap(Module,Module,Function)" -- see schurModulesMap -- creates a map between two Schur modules via the specified function.
    • "splitCharacter(RingElement)" -- see splitCharacter -- Decomposes a symmetric polynomial as a sum of schur functions
    • "straighten(Filling,Module)" -- see straighten -- Given a tableau of shape lambda express it as a linear combination of SST in the given schur Module

For the programmer

The object SchurFunctors is a package.