adjointModule -- The adjoint module of a Lie algebra

Description

Returns the module corresponding to the adjoint representation of a Lie algebra.

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

o1 = g

o1 : simple LieAlgebra

i2 : adjointModule g

o2 = LL   (g)
       1,1

o2 : irreducible LieAlgebraModule over g

i3 : adjointModule (g++g)

o3 = LL       (𝔞  ++ 𝔞 ) ++ LL       (𝔞  ++ 𝔞 )
       0,0,1,1  2     2       1,1,0,0  2     2

o3 : LieAlgebraModule over 𝔞  ++ 𝔞
                            2     2

Ways to use adjointModule:

adjointModule(LieAlgebra)

For the programmer

The object adjointModule is a method function.

The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/LieAlgebraRepresentations/documentation.m2:447:0.