Crystal graphs and Young tableaux
Let \(M\) be an integrable module of the quantized enveloping algebra \(U_q (\Phi)\) associated to an irreducible root system \(\Phi\). Kashiwara proved that \(M\) has a crystal base having the structure of a colored oriented graph, which reflects the structure of \(M\). This paper gives a description of the crystal graph in terms of generalized Young tableaux in the case when \(\Phi\) is of type \(A\), \(B\), \(C\), \(D\), \(E_6\), \(G_2\).
scientific article; zbMATH DE number 783911
scientific article