[____] [____] [_____] [____] [__] [Index] [Root]
Subindex: root .. RootNumber
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
Roots, Coroots and Reflections (COXETER GROUPS)
ROOT SYSTEMS
CorootAction(W) : GrpPermCox -> Map
RootAction(W) : GrpPermCox -> Map
GrpCox_RootArithmetic (Example H98E19)
RootDtm_RootArithmetic (Example H97E21)
RootSys_RootArithmetic (Example H96E13)
RootClosure(R, S) : RootDtm, SetEnum[RngIntElt] -> SetEnum[RngIntElt]
Isogeny of Split Reduced Root Data (ROOT DATA)
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)
The Coxeter Group (ROOT DATA)
The Coxeter Group (ROOT DATA)
Definition of a Split Root Datum (ROOT DATA)
Extended Root Data (ROOT DATA)
RootDtm_RootDtmDecomp (Example H97E28)
RootDtm_RootDtmSums (Example H97E27)
IsRootedTree(G) : GrphDir -> BoolElt, GrphVert
CorootGSet(W) : GrpPermCox -> GSet
RootGSet(W) : GrpPermCox -> GSet
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(phi) : Map -> [RngIntElt]
CorootLattice(R) : RootDtm -> Lat, Map
RootLattice(R) : RootDtm -> Lat, Map
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(G) : GrpLie -> [RngIntElt]
RootNorms(G) : GrpLie -> [RngIntElt]
RootNorms(W) : GrpPermCox -> [RngIntElt]
RootNorms(R) : RootStr -> [RngIntElt]
RootNorms(R) : RootSys -> [RngIntElt]
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