Abstract:
Let (Formula presented.) be an affine Lie algebra with index set (Formula presented.) It is conjectured that for each Dynkin node (Formula presented.) the affine Lie algebra (Formula presented.) has a positive geometric crystal. In this paper we construct a positive geometric crystal for the affine Lie algebra (Formula presented.) corresponding to the Dynkin spin node k = 6. Communicated by Sarah Witherspoon. © 2020, © 2020 Taylor & Francis Group, LLC.