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LieTypes :: LieAlgebraModule

LieAlgebraModule -- class for Lie algebra modules

Description

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.