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

Subindex: root  ..  RootNumber


root

   Building Groups of Lie Type (GROUPS OF LIE TYPE)
   Building Root Data (ROOT DATA)
   Building Root Systems (ROOT SYSTEMS)
   Constants Associated with Root Data (ROOT DATA)
   Constructing Root Data (ROOT DATA)
   Constructing Root Systems (ROOT SYSTEMS)
   Constructing Sparse Root Data (ROOT DATA)
   Morphisms of Root Data (ROOT DATA)
   Nonreduced Root Data (ROOT DATA)
   Nonreduced Root Systems (ROOT SYSTEMS)
   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)
   Operations on Root Data (ROOT DATA)
   Operators on Root Systems (ROOT SYSTEMS)
   Order and Roots (FINITE FIELDS)
   Properties of Root Data (ROOT DATA)
   Properties of Root Systems (ROOT SYSTEMS)
   Root Actions (COXETER GROUPS)
   ROOT DATA
   ROOT SYSTEMS
   Roots (FINITE FIELDS)
   Roots (UNIVARIATE POLYNOMIAL RINGS)
   Roots, Coroots and Reflections (COXETER GROUPS)
   Square Root (POWER, LAURENT AND PUISEUX SERIES)
   Standard Action (COXETER GROUPS)

root-data

   ROOT DATA

root-data-roots

   Roots, Coroots and Reflections (COXETER GROUPS)

root-systems

   ROOT SYSTEMS

RootAction

   CorootAction(W) : GrpPermCox -> Map
   RootAction(W) : GrpPermCox -> Map

RootArithmetic

   GrpCox_RootArithmetic (Example H98E19)
   RootDtm_RootArithmetic (Example H97E21)
   RootSys_RootArithmetic (Example H96E13)

RootClosure

   RootClosure(R, S) : RootDtm, SetEnum[RngIntElt] -> SetEnum[RngIntElt]

rootdata

   Isogeny of Split Reduced Root Data (ROOT DATA)

RootDatum

   RootDatum(L) : AlgLie -> RootDtm
   RootDatum(C) : AlgMatElt -> RootDtm
   RootDatum(C) : AlgMatElt -> RootDtm
   RootDatum(U) : AlgQUE -> RootDtm
   RootDatum(D) : GrphDir -> RootDtm
   RootDatum(G) : GrpLie -> RootDtm
   RootDatum(W) : GrpMat -> RootDtm
   RootDatum(W) : GrpPermCox -> RootDtm
   RootDatum(D) : LieRepDec -> RootDtm
   RootDatum(V) : ModTupFld -> RootDtm
   RootDatum(N) : MonStgElt -> RootDtm
   RootDatum(A, B) : Mtrx, Mtrx -> RootDtm
   RootDatum(R) : RootDtmSprs -> RootDtm
   RootDatum(R) : RootSys -> RootDtm
   AlgLie_RootDatum (Example H100E33)

rootdatum

   The Coxeter Group (ROOT DATA)

rootdatum-cox-grps

   The Coxeter Group (ROOT DATA)

rootdtm

   Definition of a Split Root Datum (ROOT DATA)
   Extended Root Data (ROOT DATA)

RootDtmDecomp

   RootDtm_RootDtmDecomp (Example H97E28)

RootDtmSums

   RootDtm_RootDtmSums (Example H97E27)

Rooted

   IsRootedTree(G) : GrphDir -> BoolElt, GrphVert

RootGSet

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

RootHeight

   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

RootImages

   RootImages(phi) : Map -> [RngIntElt]

RootLattice

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

RootNorm

   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

RootNorms

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

RootNumber

   RootNumber(E) : CrvEll -> RngIntElt
   RootNumber(E) : CrvEll -> RngIntElt
   RootNumber(E) : CrvEll -> RngIntElt
   RootNumber(E, p) : CrvEll, RngIntElt -> RngIntElt
   RootNumber(E, P) : CrvEll, RngOrdIdl -> RngIntElt

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

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