Documentation

gr-makenewdb
- Making New Databases (HILBERT SERIES OF POLARISED VARIETIES)
grad-ex
- Newton_grad-ex (Example H55E5)
Graded
- AssociatedGradedAlgebra(A) : AlgBas -> AlgBas
- BuildHomomorphismFromGradedCap(A, B, phi) : AlgBas, AlgBas, ModMatFldElt -> ModMatFldElt
- GradedAutomorphismGroup(A) : AlgBas -> GrpMat, SeqEnum[ModMatFldElt], SeqEnum[ModMatFldElt], SeqEnum[ModMatFldElt]
- GradedAutomorphismGroupMatchingIdempotents(A) : AlgBas -> GrpMat, SeqEnum, SecEnum
- GradedCapHomomorphism(A) : AlgBas -> ModMatFldElt
- GradedCapHomomorphism(A, B, mu) : AlgBas, AlgBas, ModMatFldElt -> ModMatFldElt
- GradedCone(D) : DivTorElt -> TorCon
- GradedCoverAlgebra(A) : AlgBas -> AlgBas, ModMatFldElt
- GradedModule(R, k) : Rng, RngIntElt -> ModMPol
- GradedModule(R, W) : Rng, [ RngIntElt ] -> ModMPol
- GradedModule(I) : RngMPol -> ModMPol
- IsGraded(M) : ModMPol -> BoolElt
- IsGraded(f) : ModMPolHom -> BoolElt
- IsGradedIsomorphic(A, B) : AlgBas, AlgBas -> Bool, ModMatFldElt
- GB_Graded (Example H112E2)
graded
- Creation of Graded Polynomial Rings (GRÖBNER BASES)
- Graded Polynomial Rings (MULTIVARIATE POLYNOMIAL RINGS)
graded-weight
- Graded Polynomial Rings (MULTIVARIATE POLYNOMIAL RINGS)
GradedAutomorphismGroup
- GradedAutomorphismGroup(A) : AlgBas -> GrpMat, SeqEnum[ModMatFldElt], SeqEnum[ModMatFldElt], SeqEnum[ModMatFldElt]
GradedAutomorphismGroupMatchingIdempotents
- GradedAutomorphismGroupMatchingIdempotents(A) : AlgBas -> GrpMat, SeqEnum, SecEnum
GradedCapHomomorphism
- GradedCapHomomorphism(A) : AlgBas -> ModMatFldElt
- GradedCapHomomorphism(A, B, mu) : AlgBas, AlgBas, ModMatFldElt -> ModMatFldElt
GradedCone
- GradedCone(D) : DivTorElt -> TorCon
GradedCoverAlgebra
- GradedCoverAlgebra(A) : AlgBas -> AlgBas, ModMatFldElt
GradedGroupAlgebras
- AlgBas_GradedGroupAlgebras (Example H92E11)
GradedHomomorphism
- AlgBas_GradedHomomorphism (Example H92E7)
GradedHomomorphisms-2
- AlgBas_GradedHomomorphisms-2 (Example H92E8)
GradedModule
- GradedModule(R, k) : Rng, RngIntElt -> ModMPol
- GradedModule(R, W) : Rng, [ RngIntElt ] -> ModMPol
- GradedModule(I) : RngMPol -> ModMPol
Gradient
- GradientVector(F) : NwtnPgonFace -> Tup
- GradientVectors(N) : NwtnPgon -> [ Tup ]
GradientVector
- GradientVector(F) : NwtnPgonFace -> Tup
GradientVectors
- GradientVectors(N) : NwtnPgon -> [ Tup ]
Grading
- Grading(M) : ModMPol -> [ RngIntElt ]
- ColumnWeights(M) : ModMPol -> [ RngIntElt ]
- Grading(P) : RngMPol -> [ RngIntElt ]
Gradings
- Gradings(C) : RngCox -> RngIntElt
- Gradings(X) : Sch -> SeqEnum
- Gradings(X) : Sch -> SeqEnum
- NumberOfGradings(C) : RngCox -> RngIntElt
- NumberOfGradings(X) : Sch -> RngIntElt
- NumberOfGradings(X) : Sch -> RngIntElt
- NumberOfQuotientGradings(C) : RngCox -> RngIntElt
- NumberOfQuotientGradings(X) : TorVar -> RngIntElt
- QuotientGradings(C) : RngCox -> RngIntElt
- QuotientGradings(X) : TorVar -> SeqEnum
gradings
- Minimal Forms and Gradings (BASIC ALGEBRAS)
Gram
- DefiniteGramMatrix(B) : SeqEnum[AlgQuatElt] -> FldReElt
- Diagonalization(F) : MtrxSpcElt -> MtrxSpcElt, AlgMatElt, RngIntElt
- GaussReduce(X) : ModMatRngElt -> ModMatRngElt, AlgMatElt
- GramMatrix(S) : AlgQuatOrd -> AlgMatElt
- GramMatrix(L) : Lat -> AlgMatElt
- GramMatrix(L) : Lat -> Mtrx
- GramMatrix(L) : LatNF -> Mtrx
- GramMatrix(M) : ModBrdt -> AlgMatElt
- GramMatrix(X) : ModMatRngElt : -> AlgMatElt
- GramMatrix(V) : ModTupRng -> AlgMatElt
- GramMatrix(f) : QuadBinElt -> AlgMatElt
- GramSchmidtPair(J) : AlgMatElt -> AlgMatElt, AlgMatElt
- LatticeWithGram(F) : AlgMatElt -> Lat
- LatticeWithGram(G, F) : GrpMat, AlgMatElt -> Lat
- NumberFieldLatticeWithGram(F) : Mtrx -> LatNF
- PairReduceGram(F) : ModMatRngElt -> ModMatRngElt, AlgMatElt, RngIntElt
- PseudoGramMatrix(L) : LatNF -> Mtrx
- ReducedGramMatrix(S) : AlgQuatOrd[RngInt] -> AlgMatElt
- ReducedGramMatrix(S) : AlgQuatOrd[RngUPol] -> AlgMatElt, SeqEnum
- SeysenGram(F) : ModMatRngElt -> ModMatRngElt, AlgMatElt, RngIntElt
GramMatrix
- GramMatrix(S) : AlgQuatOrd -> AlgMatElt
- GramMatrix(L) : Lat -> AlgMatElt
- GramMatrix(L) : Lat -> Mtrx
- GramMatrix(L) : LatNF -> Mtrx
- GramMatrix(M) : ModBrdt -> AlgMatElt
- GramMatrix(X) : ModMatRngElt : -> AlgMatElt
- GramMatrix(V) : ModTupRng -> AlgMatElt
- GramMatrix(f) : QuadBinElt -> AlgMatElt

V2.28, 13 July 2023

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