[____] [____] [_____] [____] [__] [Index] [Root]

Subindex: coroot  ..  Coset


coroot

   Operations and Properties for Root and Coroot Indices (COXETER GROUPS)
   Operations and Properties for Root and Coroot Indices (GROUPS OF LIE TYPE)
   Operations and Properties for Root and Coroot Indices (ROOT DATA)
   Operations and Properties for Roots and Coroot Indices (ROOT SYSTEMS)
   Root Actions (COXETER GROUPS)
   Standard Action (COXETER GROUPS)

CorootAction

   CorootAction(W) : GrpPermCox -> Map
   RootAction(W) : GrpPermCox -> Map
   GrpCox_CorootAction (Example H98E28)

CorootGSet

   CorootGSet(W) : GrpPermCox -> GSet
   RootGSet(W) : GrpPermCox -> GSet

CorootHeight

   CorootHeight(G, r) : GrpLie, RngIntElt -> RngIntElt
   RootHeight(G, r) : GrpLie, RngIntElt -> RngIntElt
   RootHeight(W, r) : GrpPermCox, RngIntElt -> RngIntElt
   RootHeight(R, r) : RootStr, RngIntElt -> RngIntElt
   RootHeight(R, r) : RootSys, RngIntElt -> RngIntElt

CorootLattice

   CorootLattice(R) : RootDtm -> Lat, Map
   RootLattice(R) : RootDtm -> Lat, Map

CorootNorm

   CorootNorm(G, r) : GrpLie, RngIntElt -> RngIntElt
   RootNorm(G, r) : GrpLie, RngIntElt -> RngIntElt
   RootNorm(W, r) : GrpPermCox, RngIntElt -> RngIntElt
   RootNorm(R, r) : RootStr, RngIntElt -> RngIntElt
   RootNorm(R, r) : RootSys, RngIntElt -> RngIntElt

CorootNorms

   CorootNorms(G) : GrpLie -> [RngIntElt]
   RootNorms(G) : GrpLie -> [RngIntElt]
   RootNorms(W) : GrpPermCox -> [RngIntElt]
   RootNorms(R) : RootStr -> [RngIntElt]
   RootNorms(R) : RootSys -> [RngIntElt]

CorootPosition

   CorootPosition(G, v) : GrpLie, . -> (@@)
   RootPosition(G, v) : GrpLie, . -> (@@)
   RootPosition(W, v) : GrpMat, . -> (@@)
   RootPosition(W, v) : GrpPermCox, . -> (@@)
   RootPosition(R, v) : RootStr, . -> (@@)
   RootPosition(R, v) : RootSys, . -> (@@)

Coroots

   PositiveCoroots(G) : GrpLie -> (@@)
   PositiveRoots(G) : GrpLie -> (@@)
   PositiveRoots(W) : GrpMat -> (@@)
   PositiveRoots(W) : GrpPermCox -> (@@)
   PositiveRoots(R) : RootStr -> (@@)
   PositiveRoots(R) : RootSys -> (@@)
   Roots(G) : GrpLie -> (@@)
   Roots(W) : GrpMat -> (@@)
   Roots(W) : GrpPermCox -> (@@)
   Roots(R) : RootStr -> (@@)
   Roots(R) : RootSys -> (@@)
   RootsAndCoroots(G) : GrpMat -> [RngIntElt], [ModTupRngElt], [ModTupRngElt]
   SimpleRoots(G) : GrpLie -> Mtrx
   SimpleRoots(W) : GrpMat -> Mtrx
   SimpleRoots(W) : GrpPermCox -> Mtrx
   SimpleRoots(R) : RootStr -> Mtrx
   SimpleRoots(R) : RootSys -> Mtrx

coroots

   Roots and Coroots (ROOT SYSTEMS)
   Roots, Coroots and Weights (GROUPS OF LIE TYPE)
   Roots, Coroots and Weights (ROOT DATA)

CorootSpace

   CorootSpace(G) : GrpLie -> Lat
   RootSpace(G) : GrpLie -> Lat
   RootSpace(W) : GrpMat -> Lat
   RootSpace(W) : GrpPermCox -> .
   RootSpace(R) : RootStr -> ModTupFld
   RootSpace(R) : RootSys -> ModTupFld

correcting

   ADDITIVE CODES
   ALGEBRAIC-GEOMETRIC CODES
   LINEAR CODES OVER FINITE FIELDS
   LINEAR CODES OVER FINITE RINGS
   LOW DENSITY PARITY CHECK CODES
   QUANTUM CODES

Correlation

   AutoCorrelation(S, t) : SeqEnum, RngIntElt -> RngIntElt
   Correlation(v) : ModTupRngElt -> RngQuadElt
   CorrelationGroup(D) : IncGeom -> GrpPerm
   CrossCorrelation(S1, S2, t) : SeqEnum, SeqEnum, RngIntElt -> RngIntElt

correlation

   Correlation Functions (PSEUDO-RANDOM BIT SEQUENCES)

CorrelationGroup

   CorrelationGroup(D) : IncGeom -> GrpPerm

Cos

   Cos(c) : FldComElt -> FldComElt
   Cos(f) : RngSerElt -> RngSerElt
   Cos(f) : RngSerElt -> RngSerElt

Cosec

   Cosec(c) : FldComElt -> FldComElt
   Cosec(f) : RngSerElt -> RngSerElt

Cosech

   Cosech(r) : FldReElt -> FldReElt

Coset

   CosetAction(G, H) : Grp, Grp -> Hom(Grp), GrpPerm, Grp
   CosetAction(G, H) : Grp, Grp -> Hom(Grp), GrpPerm, Grp
   CosetAction(G, H) : Grp, Grp -> Hom(Grp), GrpPerm, Grp
   CosetAction(G, H) : Grp, Grp -> Hom(Grp), GrpPerm, GrpPC
   CosetAction(V) : GrpFPCos, Grp -> Hom(Grp), GrpPerm
   CosetAction(P) : GrpFPCosetEnumProc -> Map, GrpPerm, GrpFP
   CosetAction(G, H) : GrpGPC, GrpGPC -> Map, GrpPerm, GrpGPC
   CosetAction(G, H) : GrpMat, GrpMat -> Hom(Grp), GrpPerm, GrpMat
   CosetAction(G, H: parameters) : Grp, Grp -> Hom(Grp), GrpPerm, GrpPerm
   CosetDistanceDistribution(C) : Code -> [ <RngIntElt, RngIntElt> ]
   CosetEnumerationProcess(G, H: parameters) : GrpFP, GrpFP -> GrpFPCosetEnumProc
   CosetGeometry(G, S) : GrpPerm, Set -> CosetGeom
   CosetGeometry(G, S, I) : GrpPerm, Set, Set -> CosetGeom
   CosetGeometry(D) : IncGeom -> BoolElt, CosetGeom
   CosetImage(G, H) : Grp, Grp -> GrpPerm
   CosetImage(G, H) : Grp, Grp -> GrpPerm
   CosetImage(G, H) : Grp, Grp -> GrpPerm
   CosetImage(G, H) : Grp, Grp -> GrpPerm
   CosetImage(V) : GrpFPCos, Grp -> GrpPerm
   CosetImage(P) : GrpFPCosetEnumProc -> GrpPerm
   CosetImage(G, H) : GrpGPC, GrpGPC -> GrpPerm
   CosetImage(G, H) : GrpMat, GrpMat -> GrpPerm
   CosetImage(G, H: parameters) : Grp, Grp -> GrpPerm
   CosetKernel(G, H) : Grp, Grp -> Grp
   CosetKernel(G, H) : Grp, Grp -> Grp
   CosetKernel(G, H) : Grp, Grp -> Grp
   CosetKernel(G, H) : Grp, Grp -> Grp
   CosetKernel(G, H) : GrpFP, GrpFP -> GrpFP
   CosetKernel(V) : GrpFPCos -> GrpFP
   CosetKernel(P) : GrpFPCosetEnumProc -> GrpFP
   CosetKernel(G, H) : GrpGPC, GrpGPC -> GrpGPC
   CosetKernel(G, H) : GrpMat, GrpMat -> GrpMat
   CosetLeaders(C) : Code -> {@ ModTupFldElt @}, Map
   CosetRepresentatives(G) : GrpPSL2 -> SeqEnum
   CosetRepresentatives(FS) : SymFry -> SeqEnum
   CosetSpace(P) : GrpFPCosetEnumProc -> GrpFPCos
   CosetSpace(G, H: parameters) : GrpFP, GrpFP: -> GrpFPCos
   CosetTable(G, H) : Grp, Grp -> Hom(Grp)
   CosetTable(G, H) : Grp, Grp -> Map
   [Future release] CosetTable(G, f) : Grp, Map -> Map
   CosetTable(G, H) : GrpFin, GrpFin -> Map
   [Future release] CosetTable(G, f) : GrpFin, Hom(GrpFin) -> Hom(GrpFin)
   CosetTable(P) : GrpFPCosetEnumProc -> Map
   CosetTable(G, H) : GrpGPC, GrpGPC -> Map
   CosetTable(G, H) : GrpPC, GrpPC -> Map
   CosetTable(G, H: parameters) : GrpFP, GrpFP -> Map
   CosetTableToPermutationGroup(G, T) : GrpFP, Map -> GrpPerm
   CosetTableToRepresentation(G, T): GrpFP, Map -> Map, GrpPerm, Grp
   CosetsSatisfying(P : parameters) : GrpFPCosetEnumProc -> { GrpFPElt }
   CosetsSatisfying(T, S: parameters) : Map, { GrpFPElt }: -> { GrpFPCosElt }
   DoubleCoset(G, H, g, K ) : GrpFP, GrpFP, GrpFPElt, GrpFP -> GrpFPDcosElt
   DoubleCoset(G, H, g, K) : GrpPerm, GrpPerm, GrpPermElt, GrpPerm -> GrpPermDcosElt
   DoubleCosetRepresentatives(G, H, K) : GrpPerm, GrpPerm, GrpPerm -> SeqEnum, SeqEnum
   ExistsCosetSatisfying(P : parameters) : GrpFPCosetEnumProc -> BoolElt, GrpFPElt
   ExistsNormalisingCoset(P) : GrpFPCosetEnumProc -> BoolElt, GrpFPElt
   ExplicitCoset(V, i) : GrpFPCos, RngIntElt -> GrpFPCosElt
   HasClosedCosetTable(P) : GrpFPCosetEnumProc -> BoolElt
   HasValidCosetTable(P) : GrpFPCosetEnumProc -> BoolElt
   IndexedCoset(V, C) : GrpFPCos, GrpFPCosElt -> GrpFPCosElt
   IndexedCoset(V, w) : GrpFPCos, GrpFPElt -> GrpFPCosElt
   RightCosetSpace(P) : GrpFPCosetEnumProc -> GrpFPCos
   RightCosetSpace(G, H: parameters) : GrpFP, GrpFP -> GrpFPCos

[____] [____] [_____] [____] [__] [Index] [Root]

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