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Subindex: Modular polynomials  ..  Module


Modular polynomials

   CrvMod_Modular polynomials (Example H93E2)

modular-abelian-quotient

   GrpFP_1_modular-abelian-quotient (Example H26E22)

modular-abvars

   Modular Abelian Varieties (MODULAR SYMBOLS)

modular-abvars-arith

   Modular Degree and Torsion (MODULAR SYMBOLS)

modular-abvars-compgrp

   Tamagawa Numbers and Orders of Component Groups (MODULAR SYMBOLS)

modular-abvars-rational

   Projection Mappings (MODULAR SYMBOLS)

modular-arithmetic

   Arithmetic Operations (RING OF INTEGERS)
   Modular Arithmetic (QUADRATIC FIELDS)

modular-curves

   MODULAR CURVES

modular-forms

   An Illustrative Overview (MODULAR FORMS)
   MODULAR FORMS
   Modular Forms (MODULAR FORMS)

modular-representation

   Representation Theory (GROUPS)

modular-symbol

   MODULAR SYMBOLS

modular-symbols

   Modular Symbols (MODULAR FORMS)
   Modular Symbols (MODULAR SYMBOLS)

ModularAbVarArithmetic

   ModSym_ModularAbVarArithmetic (Example H94E25)

ModularAbVarCompGrp

   ModSym_ModularAbVarCompGrp (Example H94E26)

ModularAbVarRational

   ModSym_ModularAbVarRational (Example H94E24)

ModularCurve

   ModularCurve(D, N) : DB, RngIntElt -> CrvMod
   ModularCurve(X,t,N) : Sch, MonStgElt, RngIntElt -> CrvMod

ModularCurveDatabase

   ModularCurveDatabase(t) : MonStgElt -> DB

ModularDegree

   ModularDegree(M) : ModSym -> RngIntElt

ModularEquation

   ModularEquation(M) : ModSS -> RngMPolElt

ModularForm

   ModularForm(E) : CrvEll -> ModFrm
   ModularForm(E) : CrvEll -> ModFrm

ModularForms

   ModularForms(G) : -> ModFrm
   ModularForms(G, k) : -> ModFrm
   ModularForms(N) : RngIntElt -> ModFrm
   ModularForms(N, k) : RngIntElt, RngIntElt -> ModFrm
   ModularForms(chars, k) : [GrpDrchElt], RngIntElt -> ModFrm

ModularKernel

   ModularKernel(M) : ModSym -> GrpAb

ModularSolution

   ModularSolution(A, M) : MtrxSprs, RngIntElt -> ModTupRng

ModularSymbols

   ModularSymbols(E) : CurveEll -> ModSym
   ModularSymbols(eps, k) : GrpDrchElt, RngIntElt -> ModSym
   ModularSymbols(eps, k, sign) : GrpDrchElt, RngIntElt, RngIntElt -> ModSym
   ModularSymbols(M) : ModFrm -> SeqEnum
   ModularSymbols(M, sign) : ModFrm, RngIntElt -> ModSym
   ModularSymbols(M, N') : ModSym, RngIntElt -> ModSym
   ModularSymbols(s, sign) : MonStgElt, RngIntElt -> ModSym
   ModularSymbols(M : parameters) : ModSS -> ModSym
   ModularSymbols(M, sign : parameters) : ModSS, RngIntElt -> ModSym
   ModularSymbols(N) : RngIntElt -> ModSym
   ModularSymbols(N, k) : RngIntElt, RngIntElt -> ModSym
   ModularSymbols(N, k, F) : RngIntElt, RngIntElt, Fld -> ModSym
   ModularSymbols(N, k, F, sign) : RngIntElt, RngIntElt, Fld, RngIntElt -> ModSym
   ModularSymbols(N, k, sign) : RngIntElt, RngIntElt, RngIntElt -> ModSym
   ModFrm_ModularSymbols (Example H97E21)

Module

   AbsoluteModuleOverMinimalField(M, F) : ModGrp, FldFin -> ModGrp
   AbsolutelyIrreducibleModule(M) : ModRng -> ModRng
   AmbientModule(M) : ModBrdt -> ModBrdt
   BaseModule(R, S) : AlgMat, Rng -> ModTup
   BrandtModule(A) : AlgQuatOrd -> ModBrdt
   BrandtModule(M) : ModSS -> ModBrdt
   BrandtModule(D) : RngIntElt -> ModBrdt
   BrandtModuleDimension(D,N) : RngIntElt, RngIntElt -> RngIntElt
   CohomologyLeftModuleGenerators(P, CP, Q) : Tup, Tup, Tup -> Tup
   CohomologyModule(G, M) : GrpPerm, ModGrp -> ModCoho
   CohomologyModule(G, invar, mats) : GrpPerm, SeqEnum, SeqEnum -> ModCoho
   CohomologyRightModuleGenerators(P, Q, CQ) : Tup, Tup, Tup -> Tup
   CommutatorModule(A, B) : AlgAss, AlgAss -> ModTupRng
   DimensionOfHighestWeightModule(D, w) : RootDtm, [ ] -> RngIntElt
   GetModules(SQP, p ) : SQProc, RngIntElt -> List
   HasDefinedModuleMap(C,n) : ModCpx, RngIntElt -> BoolElt
   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 ] ]
   InjectiveModule(B, i) : AlgBas, RngIntElt -> ModAlg
   InjectiveSyzygyModule(M, n) : ModAlg, RngIntElt -> ModAlg
   IrreducibleModule(B, i) : AlgBas, RngIntElt -> ModAlg
   IsModuleHomomorphism(X) : ModMatElt -> BoolElt
   IsModuleHomomorphism(f) : ModMatFldElt -> BoolElt
   MinimalSyzygyModule(M) : ModMPol -> [ ModMPolElt ]
   Module(A) : AlgGen -> ModTupRng
   Module(S) : AlgGrpSub -> ModTupRng, Map
   Module(L) : AlgLie -> ModTupRng
   Module(CM) : ModCoho -> ModGrp
   Module(P, r) : Rng, RngIntElt -> RngMPol
   Module(P, r, S) : Rng, RngIntElt, MonStgElt -> RngMPol
   Module(P, W) : Rng, [ RngIntElt ] -> RngMPol
   Module(P, W, S) : Rng, [ RngIntElt ], MonStgElt -> RngMPol
   Module(R) : RngInvar -> ModMPol, Map
   Module(O) : RngOrd -> ModDed, Map
   Module(O, n) : RngOrd, RngIntElt -> ModDed
   Module(I) : RngOrdFracIdl -> ModDed, Map
   Module(L, R) : SeqEnum[ DiffFunElt ], Rng -> Mod, Map, SeqEnum[ ModElt ]
   Module(L, R) : SeqEnum[ FldFunGElt ], Rng -> Mod, Map, SeqEnum[ ModElt ]
   Module(S) : SeqEnum[ModElt] -> ModDed, Map
   Module(S) : SeqEnum[RngOrdFracIdl] -> ModDed
   Module(S) : SeqEnum[Tup] -> ModDed, Map
   Module(e) : SubModLatElt -> ModRng
   ModuleMap(f, n) : ModMatCpxElt, RngIntElt -> ModMatFldElt
   ModuleOverSmallerField(M, F) : ModGrp, FldFin -> ModGrp
   NextRepresentation(P) : SolRepProc -> BoolElt, Map
   NormSpace(A) : AlgQuat -> ModTupFld
   PermutationModule(G, K) : Grp, Fld -> ModGrp
   PermutationModule(G, K) : Grp, Fld -> ModGrp
   PermutationModule(G, H, K) : Grp, Grp, Fld -> ModGrp
   PermutationModule(G, H, R) : Grp, Grp, Rng -> ModGrp
   PermutationModule(G, V) : Grp, ModTup -> ModGrp
   PermutationModule(G, u) : Grp, ModTupElt -> ModGrp
   PermutationModule(G, H, R) : GrpFin, GrpFin, Rng -> ModGrpFin
   PermutationModule(G, H, R) : GrpMat, GrpMat, Rng -> ModGrp
   PermutationModule(G, R) : GrpPerm, Rng -> ModGrp
   PermutationModule(G, R) : GrpPerm, Rng -> ModGrpFin
   ProjectiveModule(B, i) : AlgBas, RngIntElt -> ModRng
   ProjectiveModule(B, S) : AlgBas, SeqEnum[RngIntElt] -> ModAlg, SeqEnum, SeqEnum
   QuotientModule(A, S) : AlgFP, AlgFP -> AlgFP
   QuotientModule(A, S) : AlgFP, AlgFP -> AlgFP
   QuotientModule(A, S) : AlgFP, AlgFP -> AlgFP
   QuotientModule(A, S) : AlgFP, AlgFP -> AlgFP
   QuotientModule(A, S) : AlgFP, AlgFP -> AlgFP
   QuotientModuleAction(G, S) : GrpMat -> Map, GrpMat
   QuotientModuleImage(G, S) : GrpMat -> GrpMat
   RightRegularModule(B) : AlgBas -> ModAlg
   SupersingularModule(p,N : parameters) : RngIntElt, RngInt -> ModSS
   SupersingularModule(p) : RngIntElt -> ModForm
   SyzygyModule(M, n) : ModAlg, RngIntElt -> ModAlg
   SyzygyModule(M) : ModMPol -> [ ModMPolElt ]
   SyzygyModule(Q) : [ RngMPolElt ] -> ModTupRng
   TrivialModule(G, K) : Grp, Fld -> ModGrp
   ZeroModule(B) : AlgBas -> ModAlg
   RngInvar_Module (Example H75E9)


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