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Oct 17, 2015 at 21:13 comment added Per Alexandersson That's a good question! See Mason's paper, link.springer.com/article/10.1007%2Fs10801-008-0133-4 where she works out the combinatorics for Demazure characters, using skyline fillings. The crystal operators are quite easy to do on these.
Jul 27, 2014 at 15:00 comment added Kiu Many thanks @JimHumphreys for the two references.
Jul 22, 2014 at 15:53 history edited Kiu
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Jul 22, 2014 at 13:24 comment added Jim Humphreys This is really a broad question (and needs more tags such as rt.representation-theory and reference-request). There are lots of sources but with different emphases. For instance, Hong-Kang, Introduction to Quantum Groups and Crystal Bases, GSM 42, AMS, 2002. And a relevant book by Kumar, etc.
Jul 22, 2014 at 0:01 history asked Kiu CC BY-SA 3.0