Clustering properties of rectangular Macdonald polynomials
نویسندگان
چکیده
منابع مشابه
Factorisation of Macdonald polynomials
1. Macdonald polynomials Macdonald polynomials P λ (x; q, t) are orthogonal symmetric polynomials which are the natural multivariable generalisation of the continuous q-ultraspherical polyno-mials C n (x; β|q) [2] which, in their turn, constitute an important class of hyper-geometric orthogonal polynomials in one variable. Polynomials C n (x; β|q) can be obtained from the general Askey-Wilson p...
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0. Introduction 3 0.1. Reduced decompositions 4 0.2. Affine exponents 7 0.3. Non–semisimple polynomials 12 0.4. Expected applications 17 1. Affine Weyl groups 21 1.1. Affine roots 22 1.2. The length on Ŵ 24 1.3. Reduction modulo W 29 1.4. Partial ordering on P 34 2. Reduced decompositions 37 2.1. Lambda–sequences 37 2.2. Coxeter transformations 39 2.3. Theorem about triples 42 2.4. Discussion 4...
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ژورنال
عنوان ژورنال: Annales de l’Institut Henri Poincaré D
سال: 2015
ISSN: 2308-5827
DOI: 10.4171/aihpd/19