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Subindex: Holomorphic  ..  Homogeneous


Holomorphic

   BasisOfHolomorphicDifferentials(C) : Crv -> [DiffCrvElt]
   BasisOfDifferentialsFirstKind(C) : Crv -> [DiffCrvElt]
   BasisOfDifferentialsFirstKind(F) : FldFunG -> SeqEnum[DiffFunElt]
   SpaceOfDifferentialsFirstKind(C) : Crv -> ModFld, Map
   SpaceOfDifferentialsFirstKind(F) : FldFunG -> ModFld, Map

holomorphs

   Holomorphs (AUTOMORPHISM GROUPS)

Hom

   Hom(G, H) : GrpAb, GrpAb -> GrpAb, Map
   Hom(A, B) : ModAbVar, ModAbVar -> HomModAbVar
   Hom(M, N) : ModDed, ModDed -> ModDed, Map
   Hom(M, N, "left") : ModMatRng, ModMatRng, MonStgElt -> ModMatRng
   Hom(M, N, "right") : ModMatRng, ModMatRng, MonStgElt -> ModMatRng
   Hom(M, N) : ModMPol, ModMPol -> ModMPol, Map
   Hom(M, N) : ModRng, ModRng -> ModMatRng
   Hom(V, W) : ModTupFld, ModTupFld -> ModMatFld
   Hom(M, N) : ModTupRng, ModTupRng -> ModMatRng
   HomGenerators(G, H) : GrpAb, GrpAb -> GrpAb, Map
   HomGenerators(G, U) : GrpPC, GrpPC -> [<AlgMatElt, RngIntElt>]

hom

   Computation of Hom (FINITELY PRESENTED ABELIAN GROUPS)
   Endomorphisms (LATTICES)
   Homomorphisms (ALGEBRAIC FUNCTION FIELDS)
   Homomorphisms (OVERVIEW)
   Homomorphisms (STRUCTURE CONSTANT ALGEBRAS)
   Homomorphisms between Modules and Matrix Modules (MODULES OVER AFFINE ALGEBRAS)
   Hom_(R)(M, N) for Matrix Modules (FREE MODULES)
   hom< G -> H | x : -> e(x) > : Grp, Grp -> Map
   hom< A -> B | x : -> e(x) > : Structure, Structure -> Map
   hom< F -> S | f, y_1, ..., y_n > : AlgFr, Rng -> Map
   hom< A -> B | Q > : AlgGen, AlgGen, [ AlgGenElt ] -> Map
   hom<L -> M | Q> : AlgLie, AlgGen, [ AlgGenElt ] -> Map
   hom< A -> B | f > : AlgMat, AlgMat, Map -> Map
   hom< F -> R | r > : FldAlg, Rng, RngElt -> Map
   hom< F -> G | x > : FldFin, Rng -> Map
   hom<F -> R | g> : FldFun, Rng, RngElt -> Map
   hom< P -> S | f, y_1, ..., y_n > : FldFunRat, Rng -> Map
   hom< G -> H | L > : Grp, Grp -> Map
   hom< A -> B | L> : Grp, Grp, List -> Map
   hom<G | L> : GrpMat, List -> Map
   hom< G -> H | L > : GrpPC, GrpPC, List -> Map
   hom<G | L> : GrpPerm, List -> Map
   hom<M -> N | T> : ModDed, ModDed, Map -> Map
   hom< M -> N | X > : ModRng, ModRng, ModMatElt -> Map
   hom< B -> G | S : parameters > : Struct , Struct -> Map
   hom< G -> H | L: parameters> : GrpSLP, Grp -> Map
   hom< P -> G | S : parameters> : Struct , Struct -> Map
   hom< O -> R | g > : RngFunOrd, Rng, RngElt -> Map
   hom< O -> R | b_1, ..., b_n > : RngFunOrd, Rng, RngElt, ..., RngElt -> Map
   hom< O -> R | b_1, ..., b_n > : RngFunOrd, Rng, RngElt, ..., RngElt -> Map
   hom< Z -> R | > : RngInt, Rng -> Map
   hom< R -> S | > : RngIntRes, Rng -> Map
   hom< P -> S | f, y_1, ..., y_n > : RngMPol, Rng -> Map
   hom< O -> R | r > : RngOrd, Rng, RngElt -> Map
   hom< P -> S | f, y > : RngUPol, Rng, Map, RngElt -> Map
   hom<R -> S | phiX, phiY> : RootDtm, RootDtm, Map, Map -> Map
   hom<R -> S | Q> : RootDtm, RootDtm, [RngIntElt] -> Map
   hom< A -> G | S > : Struct , Struct -> Map
   hom< M -> N | S > : Struct , Struct -> Map
   hom< P -> G | S > : Struct , Struct -> Map
   hom< R -> G | S > : Struct , Struct -> Map
   hom< A -> B | G > : Structure, Structure -> Map
   hom< A -> B | y_1, ..., y_n > : Structure, Structure -> Map
   FldFunG_hom (Example H55E24)
   FldQuad_hom (Example H50E2)
   ModDed_hom (Example H56E6)
   RngInt_hom (Example H39E1)

hom-spaces

   Scheme_hom-spaces (Example H97E25)

Homeomorphic

   IsHomeomorphic(G: parameters) : GrphMultUnd -> BoolElt
   IsHomeomorphic(G : parameters) : GrphUnd -> BoolElt

HomGenerators

   HomGenerators(G, H) : GrpAb, GrpAb -> GrpAb, Map
   HomGenerators(G, U) : GrpPC, GrpPC -> [<AlgMatElt, RngIntElt>]

homo

   Transition Matrices from Homogeneous Basis (SYMMETRIC FUNCTIONS)

Homogeneous

   ElementaryToHomogeneousMatrix(n): RngIntElt -> AlgMatElt
   HasHomogeneousBasis(A): AlgSym -> BoolElt
   HomogeneousComponent(f, d) : RngMPolElt, RngIntElt -> RngMPolElt
   HomogeneousComponents(f) : RngMPolElt -> [ RngMPolElt ]
   HomogeneousModuleTest(P, S, F) : [ RngMPol ], [ RngMPol ], RngMPol -> BoolElt, [ RngMPol ]
   HomogeneousModuleTest(P, S, F) : [ RngMPol ], [ RngMPol ], RngMPol -> BoolElt, [ RngMPol ]
   HomogeneousModuleTest(P, S, L) : [ RngMPol ], [ RngMPol ], [ RngMPol ] -> [ BoolElt ], [ [ RngMPol ] ]
   HomogeneousModuleTest(P, S, L) : [ RngMPol ], [ RngMPol ], [ RngMPol ] -> [ BoolElt ], [ [ RngMPol ] ]
   HomogeneousModuleTestBasis(P, S, L) : [ RngMPol ], [ RngMPol ], [ RngMPol ] -> [ BoolElt ], [ [ RngMPol ] ]
   HomogeneousToElementaryMatrix(n): RngIntElt -> AlgMatElt
   HomogeneousToMonomialMatrix(n): RngIntElt -> AlgMatElt
   HomogeneousToPowerSumMatrix(n): RngIntElt -> AlgMatElt
   HomogeneousToSchurMatrix(n): RngIntElt -> AlgMatElt
   IsHomogeneous(s): AlgSymElt -> BoolElt
   IsHomogeneous(M) : ModMPol -> BoolElt
   IsHomogeneous(I) : RngMPol -> BoolElt
   IsHomogeneous(f) : RngMPolElt -> BoolElt
   IsHomogeneous(X,f) : Sch,RngMPolElt -> BoolElt
   MonomialToHomogeneousMatrix(n): RngIntElt -> AlgMatElt
   PowerSumToHomogeneousMatrix(n): RngIntElt -> AlgMatElt
   SchurToHomogeneousMatrix(n): RngIntElt -> AlgMatElt
   SymmetricFunctionAlgebraHomogeneous(R) : Rng -> AlgSym


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