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Subindex: permutation  ..  Pezzo


permutation

   Identification as a Permutation Group (PERMUTATION GROUPS)
   Permutation Character (CHARACTERS OF FINITE GROUPS)
   Permutation Group Actions on Polynomials (INVARIANT THEORY)
   PERMUTATION GROUPS
   Permutation Modules (K[G]-MODULES AND GROUP REPRESENTATIONS)
   Permutation Polynomials (FINITE FIELDS)
   Permutation Polynomials (UNIVARIATE POLYNOMIAL RINGS)

permutation-modules

   Permutation Modules (K[G]-MODULES AND GROUP REPRESENTATIONS)

permutation-polynomials

   Permutation Polynomials (FINITE FIELDS)
   Permutation Polynomials (UNIVARIATE POLYNOMIAL RINGS)

PermutationActionD8

   AlgFP_PermutationActionD8 (Example H82E9)

PermutationAutomorphism

   Automorphism(A, g) : Sch, GrpPermElt -> MapIsoSch
   PermutationAutomorphism(A, g) : Sch,GrpPermElt -> MapIsoSch

PermutationCharacter

   PermutationCharacter(K) : FldNum -> ArtRep
   PermutationCharacter(G, H) : Grp, Grp -> AlgChtrElt
   PermutationCharacter(G, H) : GrpFin, GrpFin -> AlgChtrElt
   PermutationCharacter(G, H) : GrpMat, GrpMat -> AlgChtrElt
   PermutationCharacter(G) : GrpPerm -> AlgChtrElt
   PermutationCharacter(G) : GrpPerm -> AlgChtrElt
   PermutationCharacter(G) : GrpPerm -> AlgChtrElt
   PermutationCharacter(G, H) : GrpPerm, GrpPerm -> AlgChtrElt

PermutationCode

   PermutationCode(u, G) : ModTupRngElt, GrpPerm -> Code
   PermutationCode(u, G) : ModTupRngElt, GrpPerm -> Code
   CodeFld_PermutationCode (Example H152E3)
   CodeRng_PermutationCode (Example H155E3)

PermutationGroup

   PermutationGroup(C) : Code -> GrpPerm, PowMap, Map
   PermutationGroup(C) : CodeAdd -> GrpPerm
   PermutationGroup(Q) : CodeQuantum -> GrpPerm
   PermutationGroup(K) : DBAtlasKeyPermRep -> GrpPerm
   PermutationGroup(A) : GrpAb -> GrpPerm, Hom(Grp)
   PermutationGroup(A) : GrpAutCrv -> GrpPerm
   PermutationGroup(A) : GrpAuto -> GrpPerm
   PermutationGroup(G) : GrpFP -> GrpPerm, GrpHom
   PermutationGroup(D, i: parameters): DB, RngIntElt -> GrpPerm
   PermutationGroup< n | L > : RngIntElt, List -> GrpPerm
   PermutationGroup< X | L > : Set, List -> GrpPerm
   PermutationGroup< X | L > : Set, List -> GrpPerm, Hom

PermutationMatrix

   PermutationMatrix(R, x) : Rng, GrpPermElt -> Mtrx
   PermutationMatrix(R, Q) : Rng, [ RngIntElt ] -> Mtrx

PermutationModule

   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, ModTupFld -> ModGrp
   PermutationModule(G, u) : Grp, ModTupFldElt -> ModGrp
   PermutationModule(G, H, R) : GrpFin, GrpFin, Rng -> ModGrpFin
   PermutationModule(G, H, R) : GrpMat, GrpMat, Rng -> ModGrp
   PermutationModule(G, K) : GrpPerm, Fld -> ModGrp
   PermutationModule(G, R) : GrpPerm, Rng -> ModGrp
   PermutationModule(G, R) : GrpPerm, Rng -> ModGrpFin

PermutationRepresentation

   PermutationRepresentation(A) : GrpAutCrv -> GrpPerm, Map
   PermutationRepresentation(A) : GrpAuto -> Map, GrpPerm, SetIndx
   PermutationRepresentation(D, i: parameters): DB, RngIntElt -> Hom(Grp), GrpFP, GrpPerm

Permutations

   NumberOfPermutations(n, k) : RngIntElt, RngIntElt -> RngIntElt
   Permutations(S) : SetEnum -> SetEnum;
   Permutations(S) : SetEnum -> SetEnum;
   Permutations(S, k) : SetEnum, RngIntElt -> SetEnum;
   Permutations(S, k) : SetEnum, RngIntElt -> SetEnum;
   ReflectionPermutations(W) : GrpMat -> []
   ReflectionPermutations(R) : RootDtm -> []
   ReflectionPermutations(R) : RootSys -> []
   SimpleReflectionPermutations(W) : GrpMat -> []
   SimpleReflectionPermutations(W) : GrpPermCox -> [GrpPermElt]
   SimpleReflectionPermutations(R) : RootDtm -> []
   SimpleReflectionPermutations(R) : RootSys -> []
   TensorInducedPermutations(G) : GrpMat -> SeqEnum
   GrpPerm_Permutations (Example H58E2)

permutations

   Permutations (PERMUTATION GROUPS)

PermutationSupport

   PermutationSupport(A) : GrpAuto -> SetIndx

Permute

   PermuteWeights(D, pi, S) : LieRepDec, GrpPermElt, RootDtm -> LieRepDec

permute

   Minimal Forms and Gradings (BASIC ALGEBRAS)

PermuteWeights

   PermuteWeights(D, pi, S) : LieRepDec, GrpPermElt, RootDtm -> LieRepDec

pExcess

   pExcess(f, p) : RngMPolElt, RngIntElt -> RngIntElt

Pezzo

   Degree6DelPezzoType3(K,pt) : FldNum, Pt -> Sch
   Degree6DelPezzoType4(K,K1,pt) : FldNum, Fld, Pt -> Sch
   Degree6DelPezzoType6(K,pt) : FldNum, Pt -> Sch
   Degree6DelPezzoType2_1(K,pt) : FldNum, Pt -> Sch
   DelPezzoSurface(P,L) : Prj,List -> SrfDelPezzo
   DelPezzoSurface(f) : RngMPolElt -> SrfDelPezzo
   IsDelPezzo(Y) : Sch -> BoolElt, SrfDelPezzo, MapSch
   MinimizeDeg4delPezzo(f, p) : SeqEnum, RngIntElt -> SeqEnum, Mtrx
   MinimizeReduceDeg4delPezzo(f) : SeqEnum -> SeqEnum, Mtrx
   ParametrizeDegree5DelPezzo(X) : Sch -> MapIsoSch
   ParametrizeDegree6DelPezzo(X) : Sch -> BoolElt, MapIsoSch
   ParametrizeDegree7DelPezzo(X) : Sch -> MapIsoSch
   ParametrizeDegree8DelPezzo(X) : Sch -> BoolElt, MapSch
   ParametrizeDegree9DelPezzo(X) : Sch -> BoolElt, MapIsoSch
   ParametrizeDelPezzo(X, P2) : Sch, Prj -> BoolElt, MapSch
   ParametrizeDelPezzoDeg6(X) : Sch -> BoolElt, MapIsoSch
   ParametrizeSingularDegree3DelPezzo(X,P2) : Sch, Prj -> BoolElt, MapIsoSch

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