Affine Geometric Crystal of type $D_4^{(3)}$

Abstract

We shall realize certain affine geometric crystal of type $D_4^{(3)}$ associated with the fundamental representation $W({\pi }_1)$ explicitly . By its explicit form, we see that it has a positive structure.

arXiv comment12 pages

References in corpus (1)

• Ultra-discretization of the G^(1)_2-Geometric Crystals to the D^(3)_4-Perfect Crystals