On irreducible \(A_ 2\)-finite \(G_ 2\)-modules
The step algebra for a Lie algebra chain \(G_ 2\supset A_ 2\) is described and applied to the classification of irreducible \(G_ 2\)- modules which are sums of irreducible \(A_ 2\)-modules [compare with \textit{D. P. Zhelobenko}, Sov. Math., Dokl. 32, 328-331 (1985); translation from Dokl. Akad. Nauk SSSR 283, 1306-1308 (1985; Zbl 0593.17006)].
scientific article; zbMATH DE number 4069136