Ultra-Discretization of $D_6^{(1)}$- Geometric Crystal at the spin node

Kailash C. Misra, Suchada Pongprasert

Let $\mathfrak{g}$ be an affine Lie algebra with index set $I=\{0,1,2,\cdots ,n\}$. It is conjectured in \cite{KNO} that for each Dynkin node $k\in I\setminus \{0\}$ the aff…