Macdonald formula for spherical functions on affine buildings
نویسندگان
چکیده
منابع مشابه
Quantum Zonal Spherical Functions and Macdonald Polynomials
It is possible to develop a unified theory of quantum symmetric pairs based on a characterization of left coideal subalgebras in the quantized enveloping algebra, which are maximal with respect to specializing (in the limit) to the classical algebra fixed under an involution. Previous work established an appropriate framework for quantum zonal spherical functions using this characterization. He...
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Abstract. In this paper we use the combinatorics of alcove walks to give a uniform combinatorial formula for Macdonald polynomials for all Lie types. These formulas are generalizations of the formulas of Haglund-Haiman-Loehr for Macdonald polynoimals of type GLn. At q = 0 these formulas specialize to the formula of Schwer for the Macdonald spherical function in terms of positively folded alcove...
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ژورنال
عنوان ژورنال: Annales de la faculté des sciences de Toulouse Mathématiques
سال: 2011
ISSN: 0240-2963
DOI: 10.5802/afst.1321