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The course will not strictly follow a particular texts. Some useful references are:
- A. Bjorner, F. Brenti, Combinatorics Of Coxeter Groups,
Springer 2005
- J. Humphreys, Reflection groups and Coxeter groups,
Cambridge Studies in Advanced Mathematics 29
- L. Manivel, Symmetric functions,
Schubert polynomials and degeneracy loci, SMFAMS vol. 6,
American Math. Soc.
- I.G. Macdonald, Notes on Schubert polynomials,
Publications du Laboratoire de Combinatoire et d'
Informatique Mathematique, Volume 6
- W. Fulton, Young Tableaux, London Mathematical Society, Student Texts 35
- I.G. Macdonald, Affine Hecke algebras and orthogonal polynomials,
Cambridge University Press
We will also use recent papers which I will announce or hand out in class. |