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Lie Theory |
| March 10, 2008 to March 14, 2008 |
| Organized By: Alexander Kleshchev, Arun Ram, Richard Stanley (chair), Bhama Srinivasan |
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| Parent Programs: |
| Combinatorial Representation Theory |
| Representation Theory of Finite Groups and Related Topics |
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| Return to Workshop Description |
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Two applications of Littelmann's path model
Friday March 14, 2008
11:00AM - 12:00PM
Speakers:
Susumu Ariki
Abstract:
This talk is based on my collaboration with
Tsuchioka, Kreiman and Jacon. In the first half,
I explain a path model realization of level
one crystals of $\mathfrak g(A^{(1)}_{e-1})$ in
terms of sequences of partitions. In the second half,
I explain its applications. The first is description of
the famous Mullineux map. (This new description was a
result of my conversation with Fayers in Oberwolfach some
years ago.) The second is confirmation of a conjecture
by Dipper, James and Murphy.
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