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Jul 14, 2010 at 11:40 history edited Jim Humphreys CC BY-SA 2.5
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Jul 14, 2010 at 10:19 comment added Victor Protsak 1. There is an interesting $q$-analogue of the character of a finite-dimensional module that involves the notion of $q$-multiplicity of weight due to Lusztig, and it specializes into a natural $q$-analogue of the Weyl dimension formula. 2. Yet another proof of the Weyl character formula follows from Kostant's version of Borel-Weil-Bott theorem involving Lie algebra cohomology (this can also be used to derive the BGG resolution).
Jul 13, 2010 at 11:42 history answered Jim Humphreys CC BY-SA 2.5