Generalized Cartan Matrices
IsGeneralizedCartanMatrix(C) : AlgMatElt -> BoolElt
KacMoodyClass(C) : AlgMatElt -> MonStgElt, ModMatRngElt
KacMoodyClasses(C) : AlgMatElt -> SeqEnum, SeqEnum, SeqEnum
Example AlgLieKM_generalized-cartan (H101E1)
Constructing Affine Kac-Moody Lie Algebras
AffineLieAlgebra(N, F) : MonStgElt, Fld -> AlgKac
AffineLieAlgebra(C, F) : AlgMatElt, Fld -> AlgKac
Example AlgLieKM_construct (H101E2)
Properties of Affine Kac-Moody Lie Algebras
CartanMatrix(L) : AlgKac -> AlgMatElt
CartanName(L) : AlgKac -> MonStgElt
Dimension(L) : AlgKac -> Infty
CoefficientRing(L) : AlgKac -> Rng
FiniteLieAlgebra(L) : AlgKac -> AlgLie
LaurentSeriesRing(L) : AlgKac -> RngSerLaur
StandardGenerators(L) : AlgKac -> SeqEnum[AlgKacElt], SeqEnum[AlgKacElt], SeqEnum[AlgKacElt]
Example AlgLieKM_construct (H101E3)
Constructing Elements of Affine Kac-Moody Lie Algebras
L . i : AlgKac, RngIntElt -> AlgKacElt
HasAttribute(L, "c") : AlgKac, MonStgElt -> BoolElt, AlgKacElt
elt<L | < [ ( <) p1, y1 ( >), ... ], λ, μ( >) > : AlgKac, Tup -> AlgKacElt
Properties of Elements of Affine Kac-Moody Lie Algebras
EltTup(x) : AlgKacElt -> Tup
IsZero(x) : AlgKacElt -> BoolElt
x eq y : AlgKacElt, AlgKacElt -> BoolElt
x + y : AlgKacElt, AlgKacElt -> AlgKacElt
-x : AlgKacElt -> AlgKacElt
Example AlgLieKM_construct (H101E4)
Bibliography
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Version: V2.19 of
Mon Dec 17 14:40:36 EST 2012