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Subindex: invariant-field  ..  Invariants


invariant-field

   Invariant Fields (INVARIANT THEORY)

invariant-ring

   Invariant Rings of Finite Groups (INVARIANT THEORY)
   INVARIANT THEORY

invariant-ring-algebraic

   Invariant Rings of Linear Algebraic Groups (INVARIANT THEORY)

Invariant100

   SkewInvariant100(f) : RngMPolElt -> RngElt

InvariantBilinearForms

   InvariantBilinearForms(G) : GrpMat -> SeqEnum[AlgMatElt], SeqEnum[AlgMatElt]

InvariantFactors

   InvariantFactors(a) : AlgMatElt -> [ AlgPolElt ]
   InvariantFactors(A) : Mtrx -> [ RngUPolElt ]

InvariantField

   InvariantField(G, K) : GrpPerm, Fld -> FldInvar

InvariantFormBases

   InvariantFormBases(G) : GrpMat -> SeqEnum[AlgMatElt], SeqEnum[AlgMatElt], SeqEnum[AlgMatElt], SeqEnum[AlgMatElt]

InvariantForms

   InvariantForms(G) : GrpMat -> SeqEnum
   InvariantForms(G) : GrpMat -> [ AlgMatElt ]
   InvariantForms(G, n) : GrpMat, RngIntElt -> [ AlgMatElt ]
   InvariantForms(L) : Lat -> [ AlgMatElt ]
   InvariantForms(L, n) : Lat, RngIntElt -> [ AlgMatElt ]

InvariantQuadraticForms

   InvariantQuadraticForms(G) : GrpMat -> SeqEnum[AlgMatElt]

InvariantRing

   InvariantRing(G) : GrpMat -> RngInvar
   InvariantRing(I, A) : RngMPol, Mtrx -> RngInvar

Invariants

   Elementary Invariants (BRANDT MODULES)
   AbelianInvariants(G) : GrpFin -> [ RngIntElt ]
   AbelianInvariants(G) : GrpMat -> [ RngIntElt ]
   AbelianInvariants(G) : GrpPC -> [RngIntElt]
   AbelianQuotientInvariants(G) : GrpFP -> [ RngIntElt ]
   AbelianQuotientInvariants(H) : GrpFP -> [ RngIntElt ]
   AbelianQuotientInvariants(G, n) : GrpFP, RngIntElt -> [ RngIntElt ]
   AbelianQuotientInvariants(H, n) : GrpFP, RngIntElt -> [ RngIntElt ]
   AbelianQuotientInvariants(G) : GrpGPC -> [ RngIntElt ]
   AbelianQuotientInvariants(G) : GrpPC -> SeqEnum
   AbsoluteInvariants(C) : CrvHyp -> SeqEnum
   ClassGroupAbelianInvariants(C) : Crv[FldFin] -> [RngIntElt]
   ClassGroupAbelianInvariants(F : parameters) : FldFun -> SeqEnum
   ClassGroupAbelianInvariants(F : parameters) : FldFunG -> SeqEnum
   ClassGroupAbelianInvariants(O) : RngFunOrd -> SeqEnum
   ClassInvariants(G, g) : GrpMat, GrpMatElt -> .
   ClassRepresentativeFromInvariants(G, p, h, t) : GrpMat, SeqEnum, SeqEnum, FldFinElt -> GrpMatElt
   ClebschInvariants(C) : CrvHyp -> SeqEnum
   ClebschInvariants(f) : RngUPolElt -> SeqEnum
   ClebschSalmonInvariants(f) : RngMPolElt -> SeqEnum, RngElt
   CombineInvariants(G, H1, H2, H3) : GrpPerm, Tup<GrpPerm, RngSLPolElt>, Tup<GrpPerm, RngSLPolElt>, GrpPerm -> RngSLPolElt
   DiscriminantFromShiodaInvariants(JI) : SeqEnum -> RngElt
   EllipticInvariants(G) : GrpPSL2 -> SeqEnum
   EllipticInvariants(A, n) : ModAbVar, RngIntElt -> FldReElt, FldReElt, FldReElt, CrvEll
   FundamentalInvariants(F) : FldInvar -> RngMPol
   FundamentalInvariants(R) : RngInvar -> RngMPol
   FundamentalInvariants(R) : RngInvar -> [ RngMPolElt ]
   G2Invariants(C) : CrvHyp -> SeqEnum
   G2ToIgusaInvariants(GI) : SeqEnum -> SeqEnum
   GeometricAutomorphismGroupFromShiodaInvariants(JI) : SeqEnum -> GrpPerm
   HyperellipticCurveFromG2Invariants(S) : SeqEnum[FldFin] -> CrvHyp, GrpFP
   HyperellipticCurveFromShiodaInvariants(JI) : SeqEnum[FldFin] -> CrvHyp, GrpPerm
   HyperellipticPolynomialsFromShiodaInvariants(JI) : SeqEnum -> SeqEnum, GrpPerm
   IgusaClebschInvariants(C: parameters) : CrvHyp -> SeqEnum
   IgusaClebschInvariants(f: parameters) : RngUPolElt -> SeqEnum
   IgusaClebschInvariants(f, h) : RngUPolElt, RngUPolElt -> SeqEnum
   IgusaInvariants(f: parameters) : RngUPolElt -> SeqEnum
   IgusaInvariants(C: parameters): CrvHyp -> SeqEnum
   IgusaInvariants(f, h): RngUPolElt, RngUPolElt -> SeqEnum
   IgusaToG2Invariants(JI) : SeqEnum -> SeqEnum
   Invariants(A) : GrpAb -> [ RngIntElt ]
   Invariants(G) : ModAbVarSubGrp -> SeqEnum
   Invariants(CM) : ModCoho -> SeqEnum
   Invariants(model) : ModelG1 -> RngElt, RngElt, RngElt
   InvariantsMetacyclicPGroup (P) : Grp -> Tup
   InvariantsOfDegree(R, d) : RngInvar, RngIntElt -> [ RngMPolElt ]
   InvariantsOfDegree(R, d) : RngInvar, RngIntElt -> [ RngMPolElt ]
   InvariantsOfDegree(R, d, k) : RngInvar, RngIntElt, RngIntElt -> [ RngMPolElt ]
   IrreducibleSecondaryInvariants(R) : RngInvar -> [ RngMPolElt ]
   MaedaInvariants(C) : CrvHyp -> SeqEnum
   R`PrimaryInvariants
   PrimaryInvariants(A) : GrpAb -> [ RngIntElt ]
   PrimaryInvariants(R) : RngInvar -> [ RngMPolElt ]
   RosenhainInvariants(t) : Mtrx -> Set
   SClassGroupAbelianInvariants(S) : SetEnum[PlcFunElt] -> SeqEnum
   SL4Invariants(model) : ModelG1 -> [ RngElt ]
   ScaledIgusaInvariants(f): RngUPolElt -> SeqEnum
   ScaledIgusaInvariants(f, h): RngUPolElt, RngUPolElt -> SeqEnum
   R`SecondaryInvariants
   SecondaryInvariants(R) : RngInvar -> [ RngMPolElt ]
   SecondaryInvariants(R, H) : RngInvar, Grp -> [ RngMPolElt ]
   SetAllInvariantsOfDegree(R, d, Q) : RngInvar, RngIntElt, [ RngMPolElt ] ->
   ShiodaAlgebraicInvariants(FJI) : SeqEnum -> SeqEnum
   ShiodaInvariants(C) : CrvHyp -> SeqEnum, SeqEnum
   ShiodaInvariantsEqual(V1,V2) : SeqEnum, SeqEnum -> BoolElt
   TorsionInvariants(A) : GrpAb -> [ RngIntElt ]
   WittInvariants(f) : RngMPolElt -> SeqEnum
   pPrimaryInvariants(A, p) : GrpAb, RngIntElt -> [ RngIntElt ]
   AlgMat_Invariants (Example H83E3)
   CrvEll_Invariants (Example H120E10)
   GrpMatGen_Invariants (Example H59E8)

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Version: V2.19 of Wed Apr 24 15:09:57 EST 2013