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Subindex: HessenbergForm  ..  HilbertSeries


HessenbergForm

   HessenbergForm(a) : AlgMatElt -> AlgMatElt
   HessenbergForm(A) : Mtrx -> AlgMatElt

Hessian

   HessianMatrix(X) : Sch -> ModMatRngElt
   HessianMatrix(C) : Sch -> Mtrx
   GrpPerm_Hessian (Example H17E3)

HessianMatrix

   HessianMatrix(X) : Sch -> ModMatRngElt
   HessianMatrix(C) : Sch -> Mtrx

Highest

   DimensionOfHighestWeightModule(D, w) : RootDtm, [ ] -> RngIntElt
   HighestRoot( W ) : GrpPermCox -> .
   HighestRoot( R ) : RootDtm -> .
   HighestRoot( R ) : RootSys -> .
   HighestShortRoot( W ) : GrpPermCox -> .
   HighestShortRoot( R ) : RootDtm -> .
   HighestShortRoot( R ) : RootSys -> .
   HighestWeightRepresentation(L, w) : AlgLie, [ ] -> UserProgram
   HighestWeightRepresentation( G, v ) : GrpLie, . -> Map
   HighestWeightVectors( rho ) : Map -> [ModTupRngElt]
   HighestWeights( rho ) : Map -> [LatElt], [ModTupRngElt]

HighestLongRoot

   HighestLongRoot( W ) : GrpFPCox -> .
   HighestRoot( W ) : GrpPermCox -> .
   HighestRoot( R ) : RootDtm -> .
   HighestRoot( R ) : RootSys -> .

HighestRoot

   HighestLongRoot( W ) : GrpFPCox -> .
   HighestRoot( W ) : GrpPermCox -> .
   HighestRoot( R ) : RootDtm -> .
   HighestRoot( R ) : RootSys -> .

HighestShortRoot

   HighestShortRoot( W ) : GrpPermCox -> .
   HighestShortRoot( R ) : RootDtm -> .
   HighestShortRoot( R ) : RootSys -> .

HighestWeight

   AlgLie_HighestWeight (Example H81E20)

HighestWeightRepresentation

   HighestWeightRepresentation(L, w) : AlgLie, [ ] -> UserProgram
   HighestWeightRepresentation( G, v ) : GrpLie, . -> Map

HighestWeights

   HighestWeights( rho ) : Map -> [LatElt], [ModTupRngElt]

HighestWeightVectors

   HighestWeightVectors( rho ) : Map -> [ModTupRngElt]

Hilbert

   HilbertClassField(K) : FldAlg -> FldAb
   HilbertClassPolynomial(D) : RngIntElt -> RngUPolElt
   HilbertClassPolynomial(D) : RngIntElt -> RngUPolElt
   HilbertCoefficients(X,n) : VSrfK3,RngIntElt -> SeqEnum
   HilbertForm(X) : VSrfK3 -> SeqEnum
   HilbertFunction(p,V) : RngUPolElt, SeqEnum -> UserProgram
   HilbertGroebnerBasis(S, H) : [ RngMPolElt ], FldFunRatUElt -> BoolElt, [ RngMPolElt ]
   HilbertNumerator(g, D) : FldFunRatUElt, SeqEnum -> FldFunRatUElt
   HilbertNumerator(X) : VSrfK3 -> RngUPolElt
   HilbertPolynomial(M) : RngMPol -> RngUPolElt, RngIntElt
   R`HilbertSeries
   HilbertSeries(M) : ModMPol -> FldFunElt
   HilbertSeries(g,B) : RngIntElt,SeqEnum -> FldFunRatUElt
   HilbertSeries(R) : RngInvar -> FldFunUElt
   HilbertSeries(I) : RngMPol -> FldFunUElt
   HilbertSeries(p,V) : RngUPolElt, SeqEnum -> FldFunRatUElt
   HilbertSeries(F,V) : SeqEnum,SeqEnum -> FldFunRatUElt
   HilbertSeries(X) : VSrfK3 -> FldFunRatUElt
   HilbertSeries(X,W) : VSrfK3,SeqEnum -> FldFunRatUElt
   HilbertSeriesMultipliedByMinimalDenominator(p,V) : RngUPolElt, SeqEnum -> RngUPolElt, SeqEnum
   K3HilbertNumerator(X) : GrphVert -> RngUPolElt
   K3HilbertSeries(X) : GrphVert -> FldFunRatUElt
   GB_Hilbert (Example H47E22)
   PMod_Hilbert (Example H49E4)
   PMod_Hilbert (Example H49E5)

hilbert

   Hilbert Series and Hilbert Polynomial (IDEAL THEORY AND GRÖBNER BASES)
   Hilbert-driven Gröbner Basis Construction (IDEAL THEORY AND GRÖBNER BASES)
   FldAb_hilbert (Example H54E1)

hilbert-class-field

   FldAb_hilbert-class-field (Example H54E6)

hilbert-groebner

   Hilbert-driven Gröbner Basis Construction (IDEAL THEORY AND GRÖBNER BASES)

HilbertClassField

   HilbertClassField(K) : FldAlg -> FldAb

HilbertClassPolynomial

   HilbertClassPolynomial(D) : RngIntElt -> RngUPolElt
   HilbertClassPolynomial(D) : RngIntElt -> RngUPolElt

HilbertCoefficients

   HilbertCoefficients(X,n) : VSrfK3,RngIntElt -> SeqEnum

HilbertForm

   EnriquesForm(X) : VSrfK3 -> SeqEnum
   NoetherForm(X) : VSrfK3 -> SeqEnum
   HilbertForm(X) : VSrfK3 -> SeqEnum

HilbertFunction

   HilbertFunction(p,V) : RngUPolElt, SeqEnum -> UserProgram

HilbertGroebner

   GB_HilbertGroebner (Example H47E23)

HilbertGroebnerBasis

   HilbertGroebnerBasis(S, H) : [ RngMPolElt ], FldFunRatUElt -> BoolElt, [ RngMPolElt ]

HilbertNumerator

   HilbertNumerator(g, D) : FldFunRatUElt, SeqEnum -> FldFunRatUElt
   HilbertNumerator(X) : VSrfK3 -> RngUPolElt

HilbertPolynomial

   HilbertPolynomial(M) : RngMPol -> RngUPolElt, RngIntElt

HilbertSeries

   R`HilbertSeries
   HilbertSeries(M) : ModMPol -> FldFunElt
   HilbertSeries(g,B) : RngIntElt,SeqEnum -> FldFunRatUElt
   HilbertSeries(R) : RngInvar -> FldFunUElt
   HilbertSeries(I) : RngMPol -> FldFunUElt
   HilbertSeries(p,V) : RngUPolElt, SeqEnum -> FldFunRatUElt
   HilbertSeries(F,V) : SeqEnum,SeqEnum -> FldFunRatUElt
   HilbertSeries(X) : VSrfK3 -> FldFunRatUElt
   HilbertSeries(X,W) : VSrfK3,SeqEnum -> FldFunRatUElt


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