The structure of simple modules of Birman-Murakami-Wenzl algebras (Q2337087)

Summary: We study the restriction of simple modules \(D^{f, \lambda}\) of Birman-Murakami-Wenzl algebras \(\mathcal{B}_n(r, q)\) with \(q\) being not a root of 1. Precisely, we study the module structure for the restriction of \(D^{f, \lambda}\) to \(\mathcal{B}_{n - 1}(r, q)\) and describe the socle and head of the restriction of each simple module completely.