Polyhedral realizations for crystal bases of integrable highest weight modules and combinatorial objects of type ${\mathrm{A}}_{n-1}^{(1)}$, ${\mathrm{C}}_{n-1}^{(1)}$, ${\mathrm{A}}_{2n-2}^{(2)}$, ${\mathrm{D}}_n^{(2)}$

Yuki Kanakubo

In this paper, we consider polyhedral realizations for crystal bases $B(\lambda )$ of irreducible integrable highest weight modules of a quantized enveloping algebra $U_q(\mathfrak{g})$,…