Nonsymmetric Macdonald polynomials and Demazure characters
Ion, Bogdan
Duke Math. J., Tome 120 (2003) no. 3, p. 299-318 / Harvested from Project Euclid
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We establish a connection between a specialization of the nonsymmetric Macdonald polynomials and the Demazure characters of the corresponding affine Kac-Moody algebra. This allows us to obtain a representation-theoretical interpretation of the coefficients of the expansion of the specialized symmetric Macdonald polynomials in the basis formed by the irreducible characters of the associated finite Lie algebra.
Publié le : 2003-03-01
Classification:  33D45,  17B67,  33D80 
@article{1085598270,
     author = {Ion, Bogdan},
     title = {Nonsymmetric Macdonald polynomials and Demazure characters},
     journal = {Duke Math. J.},
     volume = {120},
     number = {3},
     year = {2003},
     pages = { 299-318},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1085598270}
}

Ion, Bogdan. Nonsymmetric Macdonald polynomials and Demazure characters. Duke Math. J., Tome 120 (2003) no. 3, pp.  299-318. http://gdmltest.u-ga.fr/item/1085598270/