Discrete Mathematics & Representation Theory Seminar 
University of California, Davis

Simple combinatorial model for crystals for Kac-Moody algebras

Alex Postnikov, MIT

November 5, 2004


Abstract.  

     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.