Exercise 5, § 6

Tag 0137, permanent. Cite it as [Bourbaki, Tag 0137].

Lie Groups and Lie Algebras, VIII, 238

Show that, if $\mathfrak{g}=\mathfrak{s}\mathfrak{l}(2, k)$ , the modules $Z(\lambda )$ of this paragraph are isomorphic to the modules $Z(\lambda )$ of §1, Exerc. 2.