#NAME?

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.