basisWordsFromMatrixGenerators -- express each basis element of $V(\lambda)$ as a linear combination of words in the lowering operators applied to the highest weight vector
branchingRule -- A Lie algebra module viewed as a module over a Lie subalgebra
cartanMatrix -- Provide the Cartan matrix of a simple Lie algebra
casimirOperator -- computes the Casimir operator associated to a representation
casimirProjection -- projection operator to a specified eigenspace of the Casimir operator
casimirScalar -- computes the scalar by which the Casimir operator acts on an irreducible Lie algebra module
casimirSpectrum -- computes the eigenvalues of the Casimir operator associated to a representation
character -- Computes the character of a Lie algebra module
characterRing (missing documentation)
deGraafBases -- compute the bases produced by de Graaf's algorithm
deGraafRepresentation -- compute the representation with the specified highest weight using de Graaf's algorithm
dim(LieAlgebraModule) -- computes the dimension of a Lie algebra module as a vector space over the ground field
dualCoxeterNumber -- the dual Coxeter number of a simple Lie algebra
dynkinDiagram -- Provide the Dynkin diagram of a simple Lie algebra
dynkinToPartition -- converts a highest weight written in the basis of fundamental dominant weights for type A into a partition
embedding -- gives the embedding of Cartan subalgebras of one Lie algebra into another