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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.