SchurFunctors : Index

• augmentFilling -- append an entry to a column of a Filling
• augmentFilling(Filling,ZZ,ZZ) -- append an entry to a column of a Filling
• augmentWeylFilling -- append an entry to a row of a WeylFilling
• augmentWeylFilling(WeylFilling,ZZ,ZZ) -- append an entry to a row of a WeylFilling
• character -- the character of a composition of Schur functors on GL(V)
• character(List,ZZ) -- the character of a composition of Schur functors on GL(V)
• characterRep -- extract the character of a polynomial GL-representation from its matrix
• characterRep(Matrix) -- extract the character of a polynomial GL-representation from its matrix
• conjugate(Filling) -- transpose of a Young tableau
• conjugate(WeylFilling) -- transpose of a Weyl-stored Young tableau
• decomposeRep -- decompose a polynomial GL-representation into irreducible subspaces
• decomposeRep(Matrix) -- decompose a polynomial GL-representation into irreducible subspaces
• divComult -- multiplication and comultiplication of divided powers
• divComult(List,ZZ) -- multiplication and comultiplication of divided powers
• divComult(List,ZZ,ZZ) -- multiplication and comultiplication of divided powers
• divComult(Sequence,ZZ) -- multiplication and comultiplication of divided powers
• dividedPower -- divided-power functor on free modules and matrices
• dividedPower(List,Matrix) -- divided-power functor on free modules and matrices
• dividedPower(List,Module) -- divided-power functor on free modules and matrices
• dividedPower(ZZ,Matrix) -- divided-power functor on free modules and matrices
• dividedPower(ZZ,Module) -- divided-power functor on free modules and matrices
• divMult -- multiplication and comultiplication of divided powers
• divMult(List,List) -- multiplication and comultiplication of divided powers
• divMult(List,List,ZZ) -- multiplication and comultiplication of divided powers
• divMult(Sequence,Sequence) -- multiplication and comultiplication of divided powers
• Filling -- a Young tableau stored column-wise
• Filling ? Filling -- a Young tableau stored column-wise
• Filling _ List -- a Young tableau stored column-wise
• isStandard -- test whether a Filling is semistandard
• isStandard(Filling) -- test whether a Filling is semistandard
• isWeylStandard -- test whether a WeylFilling is Weyl-semistandard
• isWeylStandard(WeylFilling) -- test whether a WeylFilling is Weyl-semistandard
• maxWeylFilling -- the lex-largest Weyl-standard tableau of given shape
• maxWeylFilling(List,ZZ) -- the lex-largest Weyl-standard tableau of given shape
• net(Filling) -- a Young tableau stored column-wise
• net(WeylFilling) -- a Young tableau stored row-wise for the Weyl-module basis
• normalize -- sort each column of a Filling, with Koszul sign
• normalize(Filling) -- sort each column of a Filling, with Koszul sign
• printSchurModuleElement -- display a Schur-module element as a linear combination of tableaux
• printSchurModuleElement(Vector,Module) -- display a Schur-module element as a linear combination of tableaux
• printWeylModuleElement -- display a Weyl-module element as a linear combination of tableaux
• printWeylModuleElement(Vector,Module) -- display a Weyl-module element as a linear combination of tableaux
• schur -- the Schur functor applied to a matrix
• schur(List,Matrix) -- the Schur functor applied to a matrix
• SchurFunctors -- Schur and Weyl functors from partitions and Young tableaux
• schurModule -- Schur module of a partition applied to a free module
• schurModule(List,Module) -- Schur module of a partition applied to a free module
• schurModulesMap -- build a map between Schur modules from its action on tableaux
• schurModulesMap(Module,Module,Function) -- build a map between Schur modules from its action on tableaux
• splitCharacter -- decompose a symmetric polynomial into Schur functions
• splitCharacter(RingElement) -- decompose a symmetric polynomial into Schur functions
• standardTableaux -- all semistandard Young tableaux of a given shape
• standardTableaux(ZZ,List) -- all semistandard Young tableaux of a given shape
• standardWeylTableaux -- all Weyl-semistandard tableaux of a given shape
• standardWeylTableaux(ZZ,List) -- all Weyl-semistandard tableaux of a given shape
• straighten -- straighten a filling into a linear combination of semistandard tableaux
• straighten(Filling) -- straighten a filling into a linear combination of semistandard tableaux
• straighten(Filling,Module) -- straighten a filling into a linear combination of semistandard tableaux
• straighten(HashTable) -- straighten a filling into a linear combination of semistandard tableaux
• straighten(HashTable,Module) -- straighten a filling into a linear combination of semistandard tableaux
• towardWeylStandard -- a single Garnir-style straightening step for Weyl fillings
• weyl -- construct a WeylFilling or apply the Weyl functor to a map
• weyl(List) -- construct a WeylFilling or apply the Weyl functor to a map
• weyl(List,Matrix) -- construct a WeylFilling or apply the Weyl functor to a map
• weylCharacter -- the character of a composition of Weyl functors on GL(V)
• weylCharacter(List,ZZ) -- the character of a composition of Weyl functors on GL(V)
• WeylFilling -- a Young tableau stored row-wise for the Weyl-module basis
• WeylFilling == WeylFilling -- a Young tableau stored row-wise for the Weyl-module basis
• WeylFilling ? WeylFilling -- a Young tableau stored row-wise for the Weyl-module basis
• WeylFilling _ List -- a Young tableau stored row-wise for the Weyl-module basis
• WeylFilling _ ZZ -- a Young tableau stored row-wise for the Weyl-module basis
• weylModule -- Weyl module of a partition applied to a free module
• weylModule(List,Module) -- Weyl module of a partition applied to a free module
• weylModulesMap -- build a map between Weyl modules from its action on tableaux
• weylModulesMap(Module,Module,Function) -- build a map between Weyl modules from its action on tableaux
• weylNormalize -- sort each row of a WeylFilling into weakly-increasing order
• weylNormalize(WeylFilling) -- sort each row of a WeylFilling into weakly-increasing order
• weylStraighten -- straighten a Weyl filling into a linear combination of Weyl-semistandard tableaux
• weylStraighten(HashTable) -- straighten a Weyl filling into a linear combination of Weyl-semistandard tableaux
• weylStraighten(HashTable,Module) -- straighten a Weyl filling into a linear combination of Weyl-semistandard tableaux
• weylStraighten(WeylFilling) -- straighten a Weyl filling into a linear combination of Weyl-semistandard tableaux
• weylStraighten(WeylFilling,Module) -- straighten a Weyl filling into a linear combination of Weyl-semistandard tableaux