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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 = LieAlgebra{isSimple => true   }
                LieAlgebraRank => 2
                RootSystemType => A

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

o2 = LieAlgebraModule{DecompositionIntoIrreducibles => HashTable{{1, 1} => 1}}
                      highestWeight => {1, 1}
                      isIrreducible => true
                      LieAlgebra => LieAlgebra{isSimple => true   }
                                               LieAlgebraRank => 2
                                               RootSystemType => A

o2 : LieAlgebraModule

Ways to use irreducibleLieAlgebraModule :