Documentation

symmetric
- Construction of Elements (GROUPS)
- Creation of a Permutation Group (PERMUTATION GROUPS)
- Creation of Symmetric Functions (SYMMETRIC FUNCTIONS)
- Invariants of the Symmetric Group (INVARIANT THEORY)
- Symmetric Polynomials (POLYNOMIAL RING IDEAL OPERATIONS)
- Symmetric Powers (DIFFERENTIAL RINGS)
symmetric polynomials and symmetric functions
- AlgSym_symmetric polynomials and symmetric functions (Example H155E13)
symmetric-functions
- Creation of Symmetric Functions (SYMMETRIC FUNCTIONS)
Symmetric-Group-Character
- Symmetric Group Character (SYMMETRIC FUNCTIONS)
symmetric-polynomials-and-symmetric-functions
- AlgSym_symmetric-polynomials-and-symmetric-functions (Example H155E17)
symmetric-power
- Symmetric Powers (DIFFERENTIAL RINGS)
Symmetric1
- GrpFPInt_Symmetric1 (Example H77E1)
- GrpFP_Symmetric1 (Example H78E1)
Symmetric2
- GrpFPInt_Symmetric2 (Example H77E2)
- GrpFP_Symmetric2 (Example H78E2)
- GrpGPC_Symmetric2 (Example H79E5)
SymmetricBilinearForm
- SymmetricBilinearForm(G: parameters) : GrpMat -> BoolElt, AlgMatElt, MonStgElt [,SeqEnum]
- SymmetricBilinearForm(f) : RngMPolElt -> ModMatRngElt
SymmetricCharacter
- SymmetricCharacter(sf): AlgSymElt -> AlgChtrElt
- SymmetricCharacter(pa) : SeqEnum -> AlgChtrElt
SymmetricCharacterTable
- SymmetricCharacterTable(d) : RngIntElt -> SeqEnum
- SymmetricCharacterTable(n) : RngIntElt -> SeqEnum
SymmetricCharacterValue
- SymmetricCharacterValue(pa, pe) : SeqEnum, GrpPermElt -> RngElt
SymmetricCotensorSpace
- SymmetricCotensorSpace(V, n) : ModTupFld, RngIntElt -> TenSpc
SymmetricElementToWord
- SymmetricElementToWord (G, g) : Grp, GrpElt -> BoolElt, GrpSLPElt
- SymmetricElementToWord (G, g) : Grp, GrpElt -> BoolElt, GrpSLPElt
SymmetricForms
- SymmetricForms(G) : GrpMat -> [ AlgMatElt ]
- AntisymmetricForms(G) : GrpMat -> [ AlgMatElt ]
- InvariantForms(G) : GrpMat -> [ AlgMatElt ]
- InvariantForms(G, n) : GrpMat, RngIntElt -> [ AlgMatElt ]
- SymmetricForms(L) : Lat -> [ AlgMatElt ]
- SymmetricForms(L, n) : Lat, RngIntElt -> [ AlgMatElt ]
SymmetricFPGroup
- Sym(GrpFP, n) : Cat, RngIntElt -> GrpFP
- SymmetricFPGroup(n) : RngIntElt -> GrpFP
SymmetricFunctionAlgebra
- SFA(R) : Rng -> AlgSym
- SymmetricFunctionAlgebra(R) : Rng -> AlgSym
SymmetricFunctionAlgebraElementary
- SFAElementary(R) : Rng -> AlgSym
- SymmetricFunctionAlgebraElementary(R) : Rng -> AlgSym
SymmetricFunctionAlgebraHomogeneous
- SFAHomogeneous(R) : Rng -> AlgSym
- SymmetricFunctionAlgebraHomogeneous(R) : Rng -> AlgSym
SymmetricFunctionAlgebraMonomial
- SFAMonomial(R) : Rng -> AlgSym
- SymmetricFunctionAlgebraMonomial(R) : Rng -> AlgSym
SymmetricFunctionAlgebraPower
- SFAPower(R) : Rng -> AlgSym
- SymmetricFunctionAlgebraPower(R) : Rng -> AlgSym
SymmetricFunctionAlgebraSchur
- SFASchur(R) : Rng -> AlgSym
- SymmetricFunctionAlgebraSchur(R) : Rng -> AlgSym
SymmetricGroup
- SymmetricGroup(GrpPerm, n) : Cat, RngIntElt -> GrpPerm
- Sym(GrpPerm, n) : Cat, RngIntElt -> GrpPerm
- Sym(n) : RngIntElt -> GrpPerm
- Sym(X) : Set -> GrpPerm
- SymmetricGroup(C, n) : Cat, RngIntElt -> GrpFin
SymmetricMatrix
- SymmetricMatrix(R, Q) : Rng, [ RngElt ] -> Mtrx
- SymmetricMatrix(f) : RngMPolElt -> Mtrx
- SymmetricMatrix(Q) : [ RngElt ] -> Mtrx
SymmetricNormaliser
- SymmetricNormaliser(G) : GrpPerm -> GrpPerm
- SymmetricNormalizer(G) : GrpPerm -> GrpPerm
SymmetricNormalizer
- SymmetricNormaliser(G) : GrpPerm -> GrpPerm
- SymmetricNormalizer(G) : GrpPerm -> GrpPerm
SymmetricPolar
- Multilinear_SymmetricPolar (Example H62E28)
SymmetricPower
- SymmetricPower(a,r) : AlgMatElt, RngIntElt -> AlgMatElt
- SymmetricPower(HS, m) : HodgeStruc, RngIntElt -> HodgeStruc
- SymmetricPower(L, m) : LSer, RngIntElt -> LSer
- SymmetricPower(V, n) : ModAlg, RngIntElt -> ModAlg, Map
- SymmetricPower(V, n) : ModAlg, RngIntElt -> ModAlg, Map
- SymmetricPower(L, m) : RngDiffOpElt, RngIntElt -> RngDiffOpElt
- SymmetricPower(R, n, v) : RootDtm, RngIntElt, ModTupRngElt -> LieRepDec
SymmetricRepresentation
- SymmetricRepresentation(B) : GrpBrd -> Map
- SymmetricRepresentation(pa, pe) : SeqEnum, GrpPermElt -> AlgMatElt
SymmetricRepresentationOrthogonal
- SymmetricRepresentationOrthogonal(pa, pe) : SeqEnum,GrpPermElt -> AlgMatElt
SymmetricRepresentationSeminormal
- SymmetricRepresentationSeminormal(pa, pe) : SeqEnum,GrpPermElt -> AlgMatElt
SymmetricSpace
- SymmetricSpace(T) : TenSpc -> TenSpc, Map
SymmetricSquare
- SymmetricSquare(a) : AlgMatElt -> AlgMatElt
- SymmetricSquare(L) : Lat -> Lat
- SymmetricSquare(M) : ModMat -> ModMat
SymmetricTensor
- SymmetricTensor(T) : TenSpcElt -> TenSpcElt
SymmetricToQuadraticForm
- SymmetricToQuadraticForm(J) : AlgMatElt -> AlgMatElt
SymmetricWeightEnumerator
- SymmetricWeightEnumerator(C): Code -> RngMPolElt
Symmetrization
- OrthogonalSymmetrization(chi, p) : AlgChtrElt, [ RngIntElt ] -> AlgChtrElt
- OrthogonalSymmetrization(L, p) : LSer, SeqEnum -> LSer
- Symmetrization(chi, p) : AlgChtrElt, [ RngIntElt ] -> AlgChtrElt
- Symmetrization(L, p) : LSer, SeqEnum -> LSer
- SymplecticSymmetrization(chi, p) : AlgChtrElt, [ RngIntElt ] -> AlgChtrElt
symmetrization
- IsSymplecticCharacter(chi) : AlgChtrElt -> BoolElt
- Symmetrization (CHARACTERS OF FINITE GROUPS)
symmetry
- Symmetry and Regularity Properties of Graphs (GRAPHS)
- Transitivity Properties (FINITE PLANES)
symmetry-regularity
- Symmetry and Regularity Properties of Graphs (GRAPHS)
- Transitivity Properties (FINITE PLANES)

V2.28, 13 July 2023

Magma is maintained and distributed by the Computational Algebra Group, School of Mathematics and Statistics, University of Sydney.