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Subindex: basic-trngps  ..  Basis


basic-trngps

   Basic Small Group Functions (DATABASES OF GROUPS)

basic_mod_cons

   Basic Module Constructions (MODULES OVER MULTIVARIATE RINGS)

BasicAccess

   GrpAtc_BasicAccess (Example H75E4)
   GrpPerm_BasicAccess (Example H58E4)
   GrpRWS_BasicAccess (Example H74E4)
   MonRWS_BasicAccess (Example H78E5)

BasicAlgebra

   BasicAlgebra(F,R) : AlgFr, SeqEnum -> AlgBas
   BasicAlgebra(F,R,s,P): AlgFr, SeqEnum, RngIntElt, SeqEnum -> AlgBas
   BasicAlgebra(A): AlgMat -> AlgBas
   BasicAlgebra(G, k) : GrpPerm, FldFin -> AlgBas
   BasicAlgebra(S) : SeqEnum -> AlgBas
   BasicAlgebra(Q) : SeqEnum[Tup] -> AlgBas

BasicAlgebraOfBlockAlgebra

   BasicAlgebraOfBlockAlgebra(S) : SeqEnum -> AlgBas

BasicAlgebraOfEndomorphismAlgebra

   BasicAlgebraOfEndomorphismAlgebra(M): ModRng -> AlgBas

BasicAlgebraOfExtAlgebra

   BasicAlgebraOfExtAlgebra(A) : AlgBas -> AlgBas
   BasicAlgebraOfExtAlgebra(A): AlgBas -> AlgBas
   BasicAlgebraOfExtAlgebra(A, n): AlgBas, RngIntElt -> AlgBas
   BasicAlgebraOfExtAlgebra(A) : AlgBas, RngIntElt -> AlgBas
   BasicAlgebraOfExtAlgebra(A) : Rec -> AlgBas
   BasicAlgebraOfExtAlgebra(ext) : Rec -> AlgBas

BasicAlgebraOfGroupAlgebra

   BasicAlgebraOfGroupAlgebra(G,F): GrpPerm, FldFin -> AlgBas

BasicAlgebraOfHeckeAlgebra

   BasicAlgebraOfHeckeAlgebra(G, H, F): GrpPerm, GrpPerm, FldFin) -> AlgBas

BasicAlgebraOfMatrixAlgebra

   BasicAlgebraOfMatrixAlgebra(A): AlgMat -> AlgBas
   BasicAlgebra(A): AlgMat -> AlgBas

BasicAlgebraOfPrincipalBlock

   BasicAlgebraOfPrincipalBlock(G,k) : GrpPerm, FldFin -> AlgBas

BasicAlgebraOfSchurAlgebra

   BasicAlgebraOfSchurAlgebra(n, r, F): RngIntElt, RngIntElt, FldFin -> AlgBas

BasicAlgebras

   AlgBas_BasicAlgebras (Example H85E3)

BasicAlgebras-2

   AlgBas_BasicAlgebras-2 (Example H85E4)

BasicAlgebras-3

   AlgBas_BasicAlgebras-3 (Example H85E5)

BasicCodegrees

   BasicCodegrees(W) : GrpFPCox -> RngIntElt
   BasicCodegrees(W) : GrpMat -> RngIntElt

BasicDegrees

   BasicDegrees(W) : GrpFPCox -> RngIntElt
   BasicDegrees(W) : GrpMat -> RngIntElt
   GrpCox_BasicDegrees (Example H98E10)
   GrpRfl_BasicDegrees (Example H99E18)

BasicInvariants

   Basic Invariants (ARITHMETIC FUCHSIAN GROUPS AND SHIMURA CURVES)
   GrpPSL2Shim_BasicInvariants (Example H131E3)

BasicOperations

   Basic Operations (ARITHMETIC FUCHSIAN GROUPS AND SHIMURA CURVES)
   RootDtm_BasicOperations (Example H97E10)
   RootSys_BasicOperations (Example H96E7)

BasicOrbit

   BasicOrbit(G, i) : GrpMat, RngIntElt -> SetIndx
   BasicOrbit(G, i) : GrpPerm, RngIntElt -> SetIndx

BasicOrbitLength

   BasicOrbitLength(G, i) : GrpMat, RngIntElt -> RngIntElt
   BasicOrbitLength(G, i) : GrpPerm, RngIntElt -> RngIntElt

BasicOrbitLengths

   BasicOrbitLengths(G) : GrpMat -> [RngIntElt]
   BasicOrbitLengths(G) : GrpPerm -> [RngIntElt]

BasicOrbits

   BasicOrbits(G) : GrpPerm -> [SetIndx]

BasicProperties

   GrpPerm_BasicProperties (Example H58E5)

BasicRootMatrices

   BasicRootMatrices(C) : Mtrx -> AlgMatElt, AlgMatElt

Basics

   ModFrm_Basics (Example H132E1)

basics

   Abelian Extensions (CLASS FIELD THEORY)
   Basics (ALGEBRAIC POWER SERIES RINGS)
   Profiler Basics (THE MAGMA PROFILER)

BasicStabiliser

   BasicStabiliser(G, i) : GrpMat, RngIntElt -> GrpMat
   BasicStabilizer(G, i) : GrpMat, RngIntElt -> GrpMat
   BasicStabilizer(G, i) : GrpPerm, RngIntElt -> GrpPerm

BasicStabiliserChain

   BasicStabiliserChain(G) : GrpMat -> [GrpMat]
   BasicStabilizerChain(G) : GrpMat -> [GrpMat]
   BasicStabilizerChain(G) : GrpPerm -> [GrpPerm]

BasicStabilizer

   BasicStabiliser(G, i) : GrpMat, RngIntElt -> GrpMat
   BasicStabilizer(G, i) : GrpMat, RngIntElt -> GrpMat
   BasicStabilizer(G, i) : GrpPerm, RngIntElt -> GrpPerm

BasicStabilizerChain

   BasicStabiliserChain(G) : GrpMat -> [GrpMat]
   BasicStabilizerChain(G) : GrpMat -> [GrpMat]
   BasicStabilizerChain(G) : GrpPerm -> [GrpPerm]

Basis

   Basis(L,i) : TorLat,RngIntElt -> TorLatElt
   L . i : TorLat,RngIntElt -> TorLatElt
   AbelianBasis(G) : GrpFin -> [ GrpFinElt ], [ RngIntElt ]
   AbelianBasis(G) : GrpPC -> [ GrpPCElt ], [ RngIntElt ]
   AbsoluteBasis(K) : FldAlg -> [FldAlgElt]
   AbsoluteBasis(K) : FldNum -> [FldNumElt]
   Basis(O) : AlgAssVOrd -> SeqEnum
   Basis(I) : AlgAssVOrdIdl -> SeqEnum
   Basis(B) : AlgBas -> SeqEnum
   Basis(R) : AlgChtr -> SeqEnum
   Basis(I) : AlgFr -> [ AlgFrElt ]
   Basis(A) : AlgGen -> [ AlgGenElt ]
   Basis(A) : AlgLie -> [ AlgLieElt ]
   Basis(L) : AlgLieExtr -> SeqEnum[AlgFPLieElt], SeqEnum[UserProgram]
   Basis(R) : AlgMat -> [ AlgMatElt ]
   Basis(A) : AlgQuat -> SeqEnum
   Basis(C) : Code -> [ ModTupRngElt ]
   Basis(C) : Code -> [ ModTupRngElt ]
   Basis(C) : Code -> [ ModTupRngElt ]
   Basis(D) : DivCrvElt -> SeqEnum
   Basis(F) : FldFunG -> SeqEnum[FldFunElt]
   Basis(F) : FldNum -> [ FldNumElt ]
   Basis(Q) : FldRat -> [FldRatElt]
   Basis(H) : HomModAbVar -> SeqEnum
   Basis(L) : Lat -> [ FldReElt ]
   Basis(M): ModAlg -> SeqEnum
   Basis(M) : ModBrdt -> SeqEnum
   Basis(M) : ModDed -> SeqEnum
   Basis(M) : ModFrm -> SeqEnum
   Basis(M, prec) : ModFrm, RngIntElt -> [RngSerPowElt]
   Basis(M) : ModMPol -> RngMPolElt
   Basis(M) : ModSS -> SeqEnum
   Basis(M) : ModSym -> SeqEnum
   Basis(V) : ModTupFld -> [ModTupFldElt]
   Basis(M) : ModTupRng -> [ModTupRngElt]
   Basis(D : parameters) : DivFunElt -> [ FldFunElt ]
   Basis(P) : PMat -> SeqEnum
   Basis(I) : RngFunOrdIdl -> [FldFunElt]
   Basis(I) : RngMPol -> [ RngMPolElt ]
   Basis(I) : RngMPolLoc -> [ RngMPolLocElt ]
   Basis(O) : RngOrd -> [ FldOrdElt ]
   Basis(I) : RngOrdIdl -> [RngOrdElt]
   Basis(S, r, disc) : SeqEnum -> SeqEnum
   Basis(L) : TorLat -> TorLatElt
   Basis(S) : [ PtEll ] -> [ PtEll ], ModMatAlgElt
   BasisChange(R,v) : RootStr, Any -> SeqEnum
   BasisDenominator(L) : Lat -> RngIntElt
   BasisElement(I, i) : AlgFr, RngIntElt -> AlgFrElt
   BasisElement(A, i) : AlgGen, RngIntElt -> AlgGenElt
   BasisElement(A, i) : AlgLie, RngIntElt -> AlgLieElt
   BasisElement(R, i) : AlgMat, RngIntElt -> AlgMatElt
   BasisElement(M, i) : ModMPol, RngIntElt -> RngMPolElt
   BasisElement(V, i) : ModTupFld, RngIntElt -> ModTupFldElt
   BasisElement(C, L) : QlgClff, SetEnum -> AlgClffElt
   BasisElement(I, i) : RngMPol, RngIntElt -> RngMPolElt
   BasisElement(I, i) : RngMPolLoc, RngIntElt -> RngMPolLocElt
   BasisMatrix(I) : AlgAssVOrdIdl -> AlgMatElt
   BasisMatrix(S) : AlgGrpSub -> ModMatRngElt
   BasisMatrix(S) : AlgQuatOrd -> AlgMatElt
   BasisMatrix(L) : Lat -> ModMatRngElt
   BasisMatrix(M) : ModMPol -> ModMatRngElt
   BasisMatrix(V) : ModTupFld -> ModMatElt
   BasisMatrix(O) : RngFunOrd -> AlgMatElt
   BasisMatrix(I) : RngFunOrdIdl -> AlgMatElt
   BasisMatrix(O) : RngOrd -> AlgMatElt
   BasisMatrix(I) : RngOrdFracIdl -> MtrxSpcElt
   BasisMatrix(e) : SubModLatElt -> Mtrx
   BasisOfDifferentialsFirstKind(C) : Crv -> [DiffCrvElt]
   BasisOfDifferentialsFirstKind(F) : FldFunG -> SeqEnum[DiffFunElt]
   BasisProduct(A, i, j) : AlgClff, RngIntElt, RngIntElt -> AlgGenElt
   BasisProduct(A, i, j) : AlgGen, RngIntElt, RngIntElt -> AlgGenElt
   BasisProduct(L, i, j) : AlgLie, RngIntElt, RngIntElt -> AlgLieElt
   BasisProducts(A) : AlgGen -> SeqEnum
   BasisProducts(L) : AlgLie -> SeqEnum
   BasisReduction(L) : Lat -> Lat, AlgMatElt
   BasisReduction(X) : ModMatRngElt -> ModMatRngElt, AlgMatElt, RngIntElt
   CanonicalBasis(V) : ModAlg -> SeqEnum
   ChangeBasis(A, B) : AlgAss, [AlgAssElt] -> AlgAss
   ChangeBasis(A, B) : AlgGen, [AlgGenElt] -> AlgGen
   ChangeBasis(L, B) : AlgLie, [AlgLieElt] -> AlgLie
   ChangeOfBasisMatrix(G, S) : GrpMat, ModGrp -> AlgMatElt
   ChevalleyBasis(L) : AlgLie -> [ AlgLieElt ], [ AlgLieElt ], [ AlgLieElt ]
   ChevalleyBasis(L, H, R) : AlgLie, AlgLie, RootDtm -> [ AlgLieElt ], [ AlgLieElt ], [ AlgLieElt ]
   ClassicalChangeOfBasis(G): GrpMat[FldFin] -> GrpMatElt[FldFin]
   ComplementBasis(G) : GrpPC -> [GrpPC]
   CoprimeBasis(S) : [ RngIntElt ] -> [ RngIntElt ]
   CoprimeBasis(L) : [RngOrdFracIdl] -> RngOrdIdl
   CoprimeBasisInsert(~L, I) : [RngOrdIdl], RngOrdFracIdl ->
   DifferentialBasis(D) : DivCrvElt -> SeqEnum
   DifferentialBasis(D) : DivCrvElt -> [DiffCrvElt]
   DifferentialBasis(D) : DivFunElt -> [DiffFunElt]
   DifferentialBasis(D) : DivFunElt -> [DiffFunElt]
   DivisorToSheaf(X, I) : Sch, RngMPol -> ShfCoh
   DualBasisLattice(L) : Lat -> Lat
   EasyBasis(I) : RngMPol -> [ RngMPolElt ]
   ExpandBasis(M) : Mtrx -> Mtrx
   ExtendBasis(S, A) : AlgGen, AlgGen -> [ AlgElt ]
   ExtendBasis(S, L) : AlgLie, AlgLie -> [ AlgElt ]
   ExtendBasis(U, V) : ModTupFld, ModTupFld -> [ModTupFldElt]
   ExtendBasis(Q, U) : [ModTupFldElt], ModTupFld -> [ModTupFldElt]
   ExtraSpecialBasis(G) : GrpMat -> GrpMatElt
   FactorBasis(K, B) : FldNum, RngIntElt -> [ RngOrdIdl ]
   FactorBasis(O) : RngOrd -> [ RngOrdIdl ], Integer
   FactorBasisCreate(O,B): RngOrd, RngIntElt -> SeqEnum
   FactorBasisVerify(O, L, U): RngOrd, RngIntElt, RngIntElt ->
   GeneratorMatrix(C) : Code -> ModMatFldElt
   GeneratorMatrix(C) : Code -> ModMatFldElt
   GroebnerBasis(I: parameters) : AlgFr -> AlgFrElt
   GroebnerBasis(I: parameters) : RngMPol -> RngMPolElt
   GroebnerBasis(S, d: parameters) : [ AlgFr ], RngInt -> AlgFrElt
   GroebnerBasis(S: parameters) : [ AlgFrElt ] -> [ AlgFrElt ]
   GroebnerBasis(S, d: parameters) : [ RngMPol ], RngInt -> RngMPolElt
   GroebnerBasis(S: parameters) : [ RngMPolElt ] -> [ RngMPolElt ]
   GroebnerBasis(S, d : parameters) : [ RngMPolElt ], RngInt -> RngMPolElt
   GroebnerBasis(X) : Sch -> SeqEnum
   GroebnerBasisUnreduced(S: parameters) : [ RngMPolElt ] -> [ RngMPolElt ]
   HasGroebnerBasis(I) : RngMPol -> BoolElt
   HasHomogeneousBasis(A): AlgSym -> BoolElt
   HasSchurBasis(A): AlgSym -> BoolElt
   HilbertGroebnerBasis(S, H) : [ RngMPolElt ], FldFunRatUElt -> BoolElt, [ RngMPolElt ]
   HomogeneousModuleTestBasis(P, S, L) : [ RngMPol ], [ RngMPol ], [ RngMPol ] -> [ BoolElt ], [ [ RngMPol ] ]
   HomologyBasis(A) : AnHcJac -> SeqEnum, SeqEnum, Mtrx
   HyperbolicBasis(U, B, W) : ModTupFld, SeqEnum, ModTupFld -> SeqEnum
   IdealWithFixedBasis(B) : [ RngMPolElt ] -> RngMPol
   ImageBasis(f) : TorLatMap -> SeqEnum
   ImageWithBasis(X, M) : ModMatRngElt, ModRng -> ModRng
   ImprimitiveBasis(G) : GrpMat -> SeqEnum
   IntegralBasis(F) : FldAlg -> [ FldAlgElt ]
   IntegralBasis(F) : FldNum -> [ FldNumElt ]
   IntegralBasis(Q) : FldRat -> [ FldRatElt ]
   IntegralBasis(M) : ModSym -> Lat
   IntegralBasis(L) : RngLocA -> SeqEnum
   IntegralBasisLattice(L) : Lat -> Lat, RngIntElt
   IsChevalleyBasis(L, R, x, y, h) : AlgLie, RootDtm, [ AlgLieElt ], [ AlgLieElt ], [ AlgLieElt ] -> BoolElt, [ Tup ]
   KMatrixSpaceWithBasis(Q) : [ ModMatRngElt ] -> ModMatRng
   KernelBasis(f) : TorLatMap -> SeqEnum
   LatticeWithBasis(G, B) : GrpMat, ModMatRngElt -> Lat
   LatticeWithBasis(G, B, M) : GrpMat, ModMatRngElt, AlgMatElt -> Lat
   LatticeWithBasis(B) : ModMatRngElt -> Lat
   LatticeWithBasis(B, M) : ModMatRngElt, AlgMatElt -> Lat
   MinimalBasis(M) : ModMPol -> [ ModMPolElt ]
   MinimalBasis(X) : Sch -> [ RngMPolElt ]
   MinimalBasis(S) : [ ModMPolElt ] -> [ ModMPolElt ]
   ModuleWithBasis(Q): SeqEnum -> ModAlg
   MonomialBasis(Q) : RngMPolRes -> [ RngMPolResElt ]
   PrimeBasis(n) : RngIntElt -> [RngIntElt]
   PrimeBasis(n) : RngIntElt -> [RngIntElt]
   PseudoBasis(I) : AlgAssVOrdIdl[RngOrd] -> SeqEnum
   PseudoBasis(O) : AlgAssVOrd[RngOrd] -> SeqEnum
   PseudoBasis(M) : ModDed -> SeqEnum
   QuantumBasisElement(F) : FldFin -> FldFinElt
   RMatrixSpaceWithBasis(Q) : [ ModMatRngElt ] -> ModMatRng
   RMatrixSpaceWithBasis(Q) : [ModTupRngElt] -> ModMatRng
   RModuleWithBasis(Q) : [ModFldElt] -> ModFld
   ReconstructLatticeBasis(S, B) : ModMatRngElt, ModMatRngElt -> ModMatRngEltLat
   ReduceGroebnerBasis(S) : [ RngMPolElt ] -> [ RngMPolElt ]
   ReducedBasis(O) : AlgAssVOrd[RngOrd] -> [AlgAssVElt]
   ReducedBasis(S) : AlgQuatOrd[RngInt] -> SeqEnum
   ReducedBasis(S: Precision) : [JacHypPt] -> SeqEnum, AlgMatElt
   ReducedBasis(S) : [ PtEll ] -> [ PtEll ]
   ReducedGramMatrix(S) : AlgQuatOrd[RngUPol] -> AlgMatElt, SeqEnum
   RiemannRochBasis(D) : DivSchElt -> SeqEnum
   RiemannRochBasis(D) : DivTorElt -> [RngElt]
   SemiOrthogonalBasis(V) : ModTupFld) -> SeqEnum
   SetRationalBasis(M) : ModFrmHil ->
   ShortBasis(D) : DivCrvElt -> SeqEnum
   ShortBasis(D : parameters) : DivFunElt -> [RngElt], [RngIntElt]
   SmallBasis(I) : RngMPol -> [ RngMPolElt ]
   SmallerFieldBasis(G) : GrpMat -> GrpMatElt
   StandardBasis(I) : RngMPolLoc -> RngMPolLocElt
   StandardBasis(S) : [ RngMPolLocElt ] -> [ RngMPolLocElt ]
   SubalgebraFromBasis(A, V) : AlgBas, SeqEnum -> AlgBas, Map
   SylowBasis(G) : GrpPC -> [GrpPC]
   TensorBasis(G) : GrpMat -> GrpMatElt
   TensorInducedBasis(G) : GrpMat -> GrpMatElt
   TwistedBasis(L, H, R) : AlgLie, AlgLie, RootDtm -> AlgLie, AlgLie, Rec, AlgMatElt
   VectorSpaceWithBasis(Q) : [ModTupFldElt] -> ModTupFld
   qExpansionBasis(M, prec) : ModBrdt, RngIntElt -> SeqEnum
   qExpansionBasis(M, prec : parameters) : ModSym, RngIntElt -> SeqEnum
   qIntegralBasis(M) : ModSym -> SeqEnum
   ModFld_Basis (Example H28E13)

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