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Subindex: length  ..  Lie


length

   Position(s, t) : MonStgElt, MonStgElt -> RngIntElt
   Integer-Valued Functions (INPUT AND OUTPUT)
   Sequences (OVERVIEW)
   The Length of a Word (FINITELY PRESENTED SEMIGROUPS)

length-index

   Position(s, t) : MonStgElt, MonStgElt -> RngIntElt
   Integer-Valued Functions (INPUT AND OUTPUT)

Lengthen

   LengthenCode(C) : Code -> Code

LengthenCode

   LengthenCode(C) : Code -> Code

Lengths

   BasicOrbitLengths(G) : GrpMat -> [RngIntElt]
   BasicOrbitLengths(G) : GrpPerm -> [RngIntElt]
   Lengths(X) : Sch -> [RngIntElt]

lengths

   CodeRng_lengths (Example H108E18)

less

   Comparison (OVERVIEW)

Level

   AuxiliaryLevel(M) : ModSS -> RngIntElt
   Level(S) : AlgQuatOrd -> RngIntElt
   Level(X) : CrvMod -> RngIntElt
   Level(G) : GrpPSL2 -> RngIntElt
   Level(M) : ModBrdt -> RngIntElt
   Level(M) : ModFrm -> RngIntElt
   Level(f) : ModFrmElt -> RngIntElt
   Level(M) : ModSS -> RngIntElt
   SetDisplayLevel(~P, Level) : Process(pQuot), RngIntElt ->
   SetPrintLevel(l) : MonStgElt ->

level

   Degeneracy Maps (MODULAR SYMBOLS)
   Low Level Operations on Presentations and Words (FINITELY PRESENTED GROUPS: ADVANCED)
   Low Level Operations on Words (FINITELY PRESENTED GROUPS: ADVANCED)

Levenshtein

   LevenshteinBound(K, n, d) : FldFin, RngIntElt, RngIntElt -> RngIntElt

LevenshteinBound

   LevenshteinBound(K, n, d) : FldFin, RngIntElt, RngIntElt -> RngIntElt

Levi

   HasLeviSubalgebra(L) : AlgLie -> BoolElt

Lex

   LexProduct(G, H) : GrphDir, GrphDir -> GrphDir

lex

   Lexicographical: lex (IDEAL THEORY AND GRÖBNER BASES)

Lexicographical

   LexicographicalOrdering(~w1, ~w2) : MonOrdElt, MonOrdElt ->

Lexicographically

   IsLexicographicallyOrdered(w1, w2) : MonOrdElt, MonOrdElt -> boolean

LexicographicalOrdering

   LexicographicalOrdering(~w1, ~w2) : MonOrdElt, MonOrdElt ->

LexProduct

   LexProduct(G, H) : GrphDir, GrphDir -> GrphDir

lfsr

   Linear Feedback Shift Registers (PSEUDO-RANDOM BIT SEQUENCES)

LFSRSequence

   LFSRSequence(C, S, t) : RngUPolElt, SeqEnum, RngIntElt -> SeqEnum

LFSRStep

   LFSRStep(C, S) : RngUPolElt, SeqEnum -> SeqEnum

LHS

   LHS(r) : Rel -> AlgFPElt
   LHS(r) : Rel -> SgpFPElt
   r[1] : GrpAbRel, RngIntElt -> GrpAbElt
   r[1] : GrpFPRel, RngIntElt -> GrpFPElt

LIBRARIES

   MAGMA_LIBRARIES

Libraries

   GetLibraries() : -> MonStgElt
   SetLibraries(s) : MonStgElt ->

libraries

   Databases of Structure Definitions (OVERVIEW)
   Libraries of Functions in the Magma Language (OVERVIEW)

Library

   GetLibraryRoot() : -> MonStgElt
   SetLibraryRoot(s) : MonStgElt ->

library

   Databases of Structure Definitions (OVERVIEW)
   Libraries of Functions in the Magma Language (OVERVIEW)

LIBRARY_

   MAGMA_LIBRARY_ROOT

Lichtenbaum

   TateLichtenbaumPairing(D1, D2, m) : DivFunElt, DivFunElt, RngIntElt -> RngElt

lideal

   Constructor (OVERVIEW)
   LeftIdeal(S, X) : AlgQuatOrd, [AlgQuatOrdElt] -> AlgQuatOrd
   ideal< L | A > : AlgLie, List -> AlgLie, Map
   lideal< cat : A | L> : Cat, AlgGrp, List -> AlgGrp, Map
   lideal<A | L_1, ..., L_r> : AlgFP, AlgFPElt, ..., AlgFPElt -> AlgFP
   lideal< A | L > : AlgGen, List -> AlgGen, Map
   lideal<R | L> : AlgMat, List -> AlgMatIdeal
   lideal<G | L_1, ..., L_r> : SgpFP, SgpFPElt, ..., SgpFPElt -> SgpFPIdl

Lie

   GroupOfLieType( C, k ) : AlgMatElt -> GrpLie
   GroupOfLieType( W, k ) : GrpFPCox, Rng -> AlgMatElt
   GroupOfLieType( W, k ) : GrpMat, Rng -> GrpLie
   GroupOfLieType( W, R ) : GrpPermCox, Rng -> GrpLie
   GroupOfLieType( N, k ) : MonStgElt, Rng -> AlgMatElt
   GroupOfLieType( C, k ) : Mtrx, Rng -> AlgMatElt
   GroupOfLieType( R, k ) : RootDtm, Rng -> AlgMatElt
   GroupOfLieType( R, k ) : RootDtm, Rng -> GrpLie
   GroupOfLieTypeFactoredOrder( C, q ) : AlgMatElt, RngElt -> RngIntElt
   GroupOfLieTypeOrder( R, q ) : AlgMatElt, RngElt -> RngIntElt
   IsLie(A) : AlgGen -> BoolElt
   IsRestrictedLieAlgebra(L) : AlgLie -> BoolElt
   LieAlgebra(A) : AlgAss -> AlgGen, Map
   LieAlgebra(A) : AlgAss -> AlgLie
   LieAlgebra(A) : AlgAss -> AlgLie
   LieAlgebra( C, k ) : AlgMatElt -> AlgLie
   LieAlgebra( W, R ) : GrpMat, Rng -> AlgLie
   LieAlgebra( W, R ) : GrpPermCox, Rng -> AlgLie
   LieAlgebra< R, n | Q : parameters > : Rng, RngIntElt, SeqEnum -> AlgLie
   LieAlgebra< R, n | T : parameters > : Rng, RngIntElt, SeqEnum -> AlgLie
   LieAlgebra< R, n | Q > : Rng, RngIntElt, SeqEnum -> AlgLie
   LieAlgebra( R, k ) : RootDtm, Rng -> AlgLie
   LieAlgebra( R, k ) : RootSys -> GrpMat
   LieBracket(a, b) : AlgAssElt, AlgAssElt -> AlgAssElt
   LieConstant_epsilon( R, r, s ) : RootDtm, RngIntElt, RngIntElt -> RngIntElt
   LieConstant_eta( R, r, s ) : RootDtm, RngIntElt, RngIntElt -> RngIntElt
   LieConstant_N( R, r, s ) : RootDtm, RngIntElt, RngIntElt -> RngIntElt
   LieConstant_p( R, r, s ) : RootDtm, RngIntElt, RngIntElt -> RngIntElt
   LieConstant_q( R, r, s ) : RootDtm, RngIntElt, RngIntElt -> RngIntElt
   LieConstant_M( R, r, s, i ) : RootDtm, RngIntElt, RngIntElt, RngIntElt -> RngIntElt
   LieConstant_C( R, i, j, r, s ) : RootDtm, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> RngIntElt
   ReductiveLieAlgebra( R, k ) : RootDtm, Rng -> AlgLie
   ReductiveLieAlgebra( R, k ) : RootSys, Rng -> AlgLie
   SemisimpleLieAlgebra( C, k ) : AlgMatElt, Rng -> AlgLie
   SemisimpleLieAlgebra( D, k ) : GrphDir, Rng -> AlgLie
   SemisimpleLieAlgebra( N, k ) : MonStrElt, Rng -> AlgLie
   SimpleLieAlgebra(X, n, k) : MonStgElt, RngIntElt, Fld -> AlgLie


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