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LieTypes :: irreducibleLieAlgebraModule

irreducibleLieAlgebraModule -- construct the irreducible Lie algebra module with given highest weight

Synopsis

Description

This function creates the irreducible Lie algebra module with a given highest weight.

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

o1 = g

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

o2 = {LieAlgebra => g                                        }
      isIrreducible => true
      highestWeight => {1, 1}
      DecompositionIntoIrreducibles => HashTable{{1, 1} => 1}

o2 : g module

Ways to use irreducibleLieAlgebraModule :