Simple combinatorial model for crystals for Kac-Moody algebrasAlgebra & Discrete Mathematics
|Alex Postnikov, MIT
|Fri, Nov 5 2004, 12:10PM
We give a new model for crystals for Kac-Moody algebras based on saturated chains in the Weyl group and interlaced sequences of roots. This model is a combinatorial counterpart of the Littlemann path model. In the finite case, it has a nice geometric interpretation in terms of alcoves of the associated affine Weyl group. This is joint work with C. Lenart.