LieAlgebraModule ** LieAlgebraModule -- tensor product of LieAlgebraModules

Operator: **
Usage:

U ** V
Inputs:
- U, an instance of the type LieAlgebraModule,
- V, an instance of the type LieAlgebraModule,
Outputs:
- W, an instance of the type LieAlgebraModule,

Description

Computes the tensor product of two Lie algebra modules.

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

o1 = g

o1 : simple LieAlgebra

i2 : U=irreducibleLieAlgebraModule({4,2},g)

o2 = U

o2 : irreducible LieAlgebraModule over g

i3 : V=irreducibleLieAlgebraModule({3,1},g)

o3 = V

o3 : irreducible LieAlgebraModule over g

i4 : U**V

                                                               2              2                                      2              2                          2
o4 = LL   (g) ++ LL   (g) ++ LL   (g) ++ LL   (g) ++ (LL   (g))  ++ (LL   (g))  ++ LL   (g) ++ LL   (g) ++ (LL   (g))  ++ (LL   (g))  ++ LL   (g) ++ (LL   (g))  ++ LL   (g) ++ LL   (g) ++ LL   (g)
       0,5         1,3         1,6         2,1          2,4            3,2           3,5         4,0          4,3            5,1           5,4          6,2           7,0         7,3         8,1

o4 : LieAlgebraModule over g

Ways to use this method:

LieAlgebraModule ** LieAlgebraModule -- tensor product of LieAlgebraModules

The source of this document is in LieAlgebraRepresentations/documentation.m2:823:0.

LieAlgebraModule ** LieAlgebraModule -- tensor product of LieAlgebraModules

Description

See also

Ways to use this method: