$D_5^{(1)}$- Geometric Crystal corresponding to the Dynkin spin node $i=5$ and its ultra-discretization

Mana Igarashi, Kailash C. Misra, Suchada Pongprasert

Let $g$ be an affine Lie algebra with index set $I=\{0,1,2,\cdots ,n\}$ and $g^L$ be its Langlands dual. It is conjectured that for each Dynkin node $i\in I\setminus \{0\}$…