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LieTypes :: dim(LieAlgebraModule)

dim(LieAlgebraModule) -- computes the dimension of a Lie algebra module as a vector space over the ground field

Synopsis

Description

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

o1 = LieAlgebra{isSimple => true   }
                LieAlgebraRank => 2
                RootSystemType => A

o1 : LieAlgebra
i2 : V=irreducibleLieAlgebraModule({1,0},g)

o2 = LieAlgebraModule{DecompositionIntoIrreducibles => HashTable{{1, 0} => 1}}
                      highestWeight => {1, 0}
                      isIrreducible => true
                      LieAlgebra => LieAlgebra{isSimple => true   }
                                               LieAlgebraRank => 2
                                               RootSystemType => A

o2 : LieAlgebraModule
i3 : dim(V)

o3 = 3