September 2009 October 2009 November 2009
Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa
1 2 3 4 5 1 2 3 1 2 3 4 5 6 7
6 7 8 9 10 11 12 4 5 6 7 8 9 10 8 9 10 11 12 13 14
13 14 15 16 17 18 19 11 12 13 14 15 16 17 15 16 17 18 19 20 21
20 21 22 23 24 25 26 18 19 20 21 22 23 24 22 23 24 25 26 27 28
27 28 29 30 25 26 27 28 29 30 31 29 30
|
I will present some applications of the alcove model in the representation theory of semisimple Lie algebras and, more generally, of symmetrizable Kac-Moody algebras. This is a discrete counterpart of the Littelmann path model. It was defined in my joint work with A. Postnikov, while a similar model, known as the LS-gallery model, is due to Gaussent and Littelmann. The first part of the talk is concerned with applications to Macdonald polynomials,