Misra K.C., Nakashima T., Pongprasert S. D7(1)- Geometric Crystal at the Spin Node. Algebras and Representation Theory (2025). doi:10.1007/s10468-025-10325-w Retrieved from: https://hdl.handle.net/20.500.14740/20850
Let g be an affine Lie algebra with index set I = {0, 1, 2,…,n}. It is conjectured that for each Dynkin node k∈I\{0} the affine Lie algebra g has a positive geometric crystal. In this paper, we construct a positive geometric crystal for the affine Lie algebra D7(1) corresponding to the Dynkin spin node k=7.