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Subindex: CoxeterIsomorphism  ..  create-group-refl-real


CoxeterIsomorphism

   GrpCox_CoxeterIsomorphism (Example H98E6)

CoxeterLength

   Length(w) : GrpFPCox, GrpFPCoxElt -> RngIntElt
   CoxeterLength(W, w) : GrpFPCox, GrpFPCoxElt -> RngIntElt
   # w : GrpFPCoxElt -> RngIntElt
   Length(w) : GrpMatElt -> RngIntElt

coxetermat

   Coxeter Matrices (COXETER SYSTEMS)

CoxeterMatrix

   CoxeterMatrix(W) : GrpFPCox -> AlgMatElt
   CoxeterMatrix(G) : GrphUnd -> AlgMatElt
   CoxeterMatrix(G) : GrpLie -> AlgMatElt
   CoxeterMatrix(W) : GrpMat -> AlgMatElt
   CoxeterMatrix(N) : MonStgElt -> AlgMatElt
   CoxeterMatrix(R) : RootStr -> AlgMatElt
   CoxeterMatrix(R) : RootSys -> AlgMatElt

CoxeterMatrixConstruction

   Cartan_CoxeterMatrixConstruction (Example H95E1)

CoxeterMatrixOperations

   Cartan_CoxeterMatrixOperations (Example H95E2)

CoxeterMatrixProperties

   Cartan_CoxeterMatrixProperties (Example H95E3)

CoxeterNumber

   CoxeterNumber(W) : GrpFPCox -> SeqEnum
   CoxeterNumber(G) : GrpLie -> RngIntElt
   CoxeterNumber(W) : GrpMat -> SeqEnum

CoxMonomialLattice

   CoxMonomialLattice(C) : RngCox -> TorLat
   CoxMonomialLattice(X) : TorVar -> TorLat

CoxRing

   CoxRing(k,F) : Fld,TorFan -> RngCox
   CoxRing(R,B,Z,Q) : RngMPol,SeqEnum,SeqEnum,SeqEnum -> RngCox
   CoxRing(X) : TorVar -> RngCox

Cputime

   Cputime() : -> FldReElt
   Cputime(t) : FldReElt -> FldReElt

creat_exs

   Sheaf_creat_exs (Example H113E1)

Create

   CreateCharacterFile(P) : NFSProc -> .
   CreateCharacterFile(P, cc) : NFSProc, RngIntElt -> .
   CreateCycleFile(P) : NFSProc -> .
   CreateK3Data(g) : RngIntElt -> SeqEnum
   FactorBasisCreate(O,B): RngOrd, RngIntElt -> SeqEnum
   FldAC_Create (Example H40E1)
   GrpLie_Create (Example H103E1)
   GrpMatGen_Create (Example H59E1)
   Mat_Create (Example H26E1)
   ModRng_Create (Example H54E5)
   RngGal_Create (Example H48E1)
   RngGal_Create (Example H48E2)
   SMat_Create (Example H27E1)

create

   Building Groups of Lie Type (GROUPS OF LIE TYPE)
   Building Root Data (ROOT DATA)
   Building Root Systems (ROOT SYSTEMS)
   Constructing Root Data (ROOT DATA)
   Constructing Sparse Root Data (ROOT DATA)
   Construction of Finite Complex Reflection Groups (REFLECTION GROUPS)
   Construction of Ordered Partition Stacks (PERMUTATION GROUPS)
   Construction of Real Reflection Groups (REFLECTION GROUPS)
   Construction of Reflection Groups (REFLECTION GROUPS)
   Creating Lattices (MODULES OVER AN ALGEBRA)
   Creating Names (INPUT AND OUTPUT)
   Creating the lattice of sublattices (LATTICES WITH GROUP ACTION)
   Creation Of Divisors (SCHEMES)
   Creation of Elements (ALGEBRAIC FUNCTION FIELDS)
   Creation of Elements (LIE ALGEBRAS)
   Creation of Elements (NUMBER FIELDS)
   Creation of Elements (ORDERS AND ALGEBRAIC FIELDS)
   Creation of G-Lattices (LATTICES WITH GROUP ACTION)
   Creation of Maximal Orders (QUATERNION ALGEBRAS)
   Creation of Orders from Elements (QUATERNION ALGEBRAS)
   Creation of Orders with given Discriminant (QUATERNION ALGEBRAS)
   Creation of Orders with given Discriminant over the Integers (QUATERNION ALGEBRAS)
   Creation of Structures (ALGEBRAIC FUNCTION FIELDS)
   Creation of Structures (NUMBER FIELDS)
   Creation of Structures (ORDERS AND ALGEBRAIC FIELDS)
   Creation of Subcanonical Curves (HILBERT SERIES OF POLARISED VARIETIES)
   Creation of Tableaux (PARTITIONS, WORDS AND YOUNG TABLEAUX)
   Creation of Twisted Polynomials (CLASS FIELD THEORY FOR GLOBAL FUNCTION FIELDS)
   Subspaces (ALGEBRAIC FUNCTION FIELDS)
   ModDed_create (Example H55E1)

create-diff-op-ring

   RngDiff_create-diff-op-ring (Example H111E33)

create-elements

   Creation of Twisted Polynomials (CLASS FIELD THEORY FOR GLOBAL FUNCTION FIELDS)

create-elts

   Creation of Elements (ALGEBRAIC FUNCTION FIELDS)

create-ex

   Newton_create-ex (Example H46E1)

create-group-refl

   Construction of Reflection Groups (REFLECTION GROUPS)

create-group-refl-complex

   Construction of Finite Complex Reflection Groups (REFLECTION GROUPS)

create-group-refl-real

   Construction of Real Reflection Groups (REFLECTION GROUPS)

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Version: V2.19 of Mon Dec 17 14:40:36 EST 2012