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LieTypes :: LieAlgebraModule

LieAlgebraModule -- class for Lie algebra modules


This class represents Lie algebra modules. Currently only modules over simple Lie algebras over the complex numbers are supported. An object of type LieAlgebraModule is a hash table recording the Lie algebra and the decomposition of the module into irreducible Lie algebra modules, which are indexed by their highest weights.

i1 : g=simpleLieAlgebra("A",2)

o1 = g

o1 : LieAlgebra
i2 : M=irreducibleLieAlgebraModule({1,1},g)

o2 = M

o2 : g module

Functions and methods returning an object of class LieAlgebraModule :

Methods that use an object of class LieAlgebraModule :

For the programmer

The object LieAlgebraModule is a type, with ancestor classes HashTable < Thing.