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Simple combinatorial model for crystals for Kac-Moody algebras
Algebra & Discrete Mathematics| Speaker: | Alex Postnikov, MIT |
| Location: | 693 Kerr |
| Start time: | 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.