A proof of the Naito-Sagaki conjecture via the branching rule for $¥imath$quantum groups of type AII
アブストラクト
We study the branching rule for the restriction of irreducible highest weight representations of the complex general linear Lie algebra to the complex symplectic Lie algebra. In 2005, Naito-Sagaki conjectured that this branching rule can be explicitly described by counting certain rational paths satisfying a specific condition. In this talk, we will explain how the Naito–Sagaki conjecture is proved independently of the proof by Schumann-Torres, by using the corresponding branching rule for ıquantum groups.