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