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q-analogues of tensor product multiplicities
Algebra & Discrete Mathematics| Speaker: | Lipika Deka, Math UC Davis |
| Location: | 693 Kerr |
| Start time: | Thu, Feb 13 2003, 12:10PM |
Description
I am going to talk about how to get tensor product
multiplicities using crystals and then how to obtain q-analogues
of these using the energy function which is a statistic on the
elements of tensor product of affine crystals. Mostly I will talk about
the type A_n case, but I will mention what's the story in type D_n
Just to make it interesting let me mention that in this
analogy Kostka polynomial becomes the q-analogue of the
Kostka numbers using the energy statistic in a special case of type A_n.