Type "help" to see useful commands

i1 : run "date";
Fri May  1 15:53:19 EDT 2026

i2 : needsPackage("LieAlgebraRepresentations");

i3 : g2 = simpleLieAlgebra("G",2);

i4 : V01 = irreducibleLieAlgebraModule(g2,{0,1});

i5 : peek V01

o5 = LieAlgebraModule{cache => CacheTable{}                                     }
                      DecompositionIntoIrreducibles => VirtualTally{{0, 1} => 1}
                      LieAlgebra => g2

i6 : V01star = dual V01;

i7 : peek V01star

o7 = LieAlgebraModule{cache => CacheTable{}                                     }
                      DecompositionIntoIrreducibles => VirtualTally{{0, 1} => 1}
                      LieAlgebra => g2

i8 : W10V01=exteriorPower(10,V01star);

i9 : peek W10V01

o9 = LieAlgebraModule{cache => CacheTable{}                                     }
                      DecompositionIntoIrreducibles => VirtualTally{{0, 1} => 1}
                                                                    {0, 2} => 1
                                                                    {1, 1} => 1
                                                                    {2, 0} => 1
                                                                    {2, 1} => 1
                                                                    {3, 1} => 1
                                                                    {4, 0} => 1
                      LieAlgebra => g2

i10 : S2V01=symmetricPower(2,V01);

i11 : peek S2V01

o11 = LieAlgebraModule{cache => CacheTable{}                                     }
                       DecompositionIntoIrreducibles => VirtualTally{{0, 0} => 1}
                                                                     {0, 2} => 1
                                                                     {2, 0} => 1
                       LieAlgebra => g2

i12 : run "date";
Fri May  1 15:53:23 EDT 2026

i13 :