SchurRings : Index
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centralizerSize -- Size of the centralizer of a permutation
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centralizerSize(List) -- Size of the centralizer of a permutation
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ClassFunction -- The class of all Class functions
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classFunction -- Converts symmetric function to class function
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ClassFunction * ClassFunction -- The class of all Class functions
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ClassFunction * Number -- The class of all Class functions
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ClassFunction * RingElement -- The class of all Class functions
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ClassFunction + ClassFunction -- The class of all Class functions
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ClassFunction - ClassFunction -- The class of all Class functions
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ClassFunction == ClassFunction -- The class of all Class functions
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classFunction(BasicList) -- Character of irreducible representation of symmetric group
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classFunction(RingElement) -- Converts symmetric function to class function
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coefficientRing(SchurRing) -- Coefficient ring of a Schur ring
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degree(ClassFunction) -- Degree of virtual character
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dim(List,SchurRingElement) -- dimension of representation
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dim(SchurRingElement) -- dimension of representation
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dim(Thing,SchurRingElement) -- dimension of representation
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EHPVariables -- Specifies sequence of symbols representing e-, h-, and p-functions
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EorH -- e- or h- representation of Jacobi-Trudi determinant
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eVariable -- Elementary symmetric functions in a Symmetric ring
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GroupActing -- Specifies the group that is acting
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hVariable -- Complete symmetric functions in a Symmetric ring
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internalProduct -- Internal product of symmetric functions/class functions
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internalProduct(ClassFunction,ClassFunction) -- Tensor product of virtual representations
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internalProduct(RingElement,RingElement) -- Kronecker product of symmetric functions
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jacobiTrudi -- Jacobi-Trudi determinant
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jacobiTrudi(...,EorH=>...) -- e- or h- representation of Jacobi-Trudi determinant
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jacobiTrudi(...,Memoize=>...) -- Store values of the jacobiTrudi function.
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jacobiTrudi(BasicList,Ring) -- Jacobi-Trudi determinant
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Memoize -- Option to record values of the jacobiTrudi function
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Number * ClassFunction -- The class of all Class functions
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numgens(SchurRing) -- Number of generators of Schur ring.
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partitions(Set,BasicList) -- Partitions of a set
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plethysm -- Plethystic operations on representations
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plethysm(BasicList,ClassFunction) -- Plethystic operations on class functions
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plethysm(BasicList,RingElement) -- Plethystic operations on representations
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plethysm(RingElement,ClassFunction) -- Plethystic operations on class functions
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plethysm(RingElement,RingElement) -- Plethystic operations on representations
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pVariable -- Power-sum symmetric functions in a Symmetric ring
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RingElement * ClassFunction -- The class of all Class functions
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scalarProduct -- Standard pairing on symmetric functions/class functions
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scalarProduct(ClassFunction,ClassFunction) -- Standard scalar product of class functions
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scalarProduct(RingElement,RingElement) -- Standard scalar product of symmetric functions
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schurLevel -- Number of SchurRings the ring is a tensor product of.
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schurLevel(Ring) -- Number of SchurRings the ring is a tensor product of.
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schurResolution -- Compute an ``approximate'' equivariant resolution of a module.
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schurResolution(...,DegreeLimit=>...) -- Specifies the maximal degree of syzygies to be computed
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schurResolution(...,SyzygyLimit=>...) -- Specifies the number of syzygy modules to be computed
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schurResolution(RingElement,List) -- Compute an ``approximate'' equivariant resolution of a module.
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schurResolution(RingElement,List,List) -- Compute an ``approximate'' equivariant resolution of a module.
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SchurRing -- The class of all Schur rings
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schurRing -- Make a SchurRing
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SchurRing _ List -- The class of all Schur rings
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SchurRing _ Sequence -- The class of all Schur rings
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SchurRing _ ZZ -- The class of all Schur rings
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schurRing(...,EHPVariables=>...) -- Specifies sequence of symbols representing e-, h-, and p-functions
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schurRing(...,GroupActing=>...) -- Specifies the group that is acting
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schurRing(...,SVariable=>...) -- Specifies symbol representing s-functions
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schurRing(Ring) -- The Schur ring corresponding to a given Symmetric ring.
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schurRing(Ring,Symbol) -- Make a SchurRing
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schurRing(Ring,Symbol,ZZ) -- Make a SchurRing
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schurRing(Ring,Thing) -- Make a SchurRing
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schurRing(Ring,Thing,ZZ) -- Make a SchurRing
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schurRing(Thing) -- Make a SchurRing
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schurRing(Thing,ZZ) -- Make a SchurRing
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SchurRingElement -- A type describing elements of a SchurRing
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SchurRingIndexedVariableTable
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SchurRingIndexedVariableTable _ Thing
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SchurRings -- Rings representing irreducible representations of general linear or symmetric groups
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SVariable -- Specifies symbol representing s-functions
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symmetricFunction -- Converts class function to symmetric function
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symmetricFunction(ClassFunction,Ring) -- Converts class function to symmetric function
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symmetricRing -- Make a Symmetric ring
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symmetricRing(...,EHPVariables=>...) -- Specifies sequence of symbols representing e-, h-, and p-functions
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symmetricRing(...,GroupActing=>...) -- Specifies the group that is acting
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symmetricRing(...,SVariable=>...) -- Specifies symbol representing s-functions
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symmetricRing(Ring) -- The Symmetric ring corresponding to a given (Schur) ring.
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symmetricRing(Ring,ZZ) -- Make a Symmetric ring
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symmetricRing(ZZ) -- Make a Symmetric ring
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toE -- Elementary symmetric (e-) basis representation
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toE(RingElement) -- Elementary symmetric (e-) basis representation
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toH -- Complete symmetric (h-) basis representation
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toH(RingElement) -- Complete symmetric (h-) basis representation
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toP -- Power-sum (p-) basis representation
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toP(RingElement) -- Power-sum (p-) basis representation
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toS -- Schur (s-) basis representation
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toS(RingElement) -- Schur (s-) basis representation
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toS(RingElement,SchurRing) -- Schur (s-) basis representation