Yuki Kanakubo

A conjecture on monomial realizations and polyhedral realizations for crystal bases

Crystal bases are powerful combinatorial tools in the representation theory of quantum groups U q ( 𝔤 ) for a symmetrizable Kac-Moody algebras 𝔤 . The polyhedral realizations are combinatorial descriptions of the crystal base B ( ∞ ) for Verma modules in terms of the set of integ...