Polynomials from Combinatorial -theory
نویسندگان
چکیده
منابع مشابه
Combinatorial theory of Macdonald polynomials I: proof of Haglund's formula.
Haglund recently proposed a combinatorial interpretation of the modified Macdonald polynomials H(mu). We give a combinatorial proof of this conjecture, which establishes the existence and integrality of H(mu). As corollaries, we obtain the cocharge formula of Lascoux and Schutzenberger for Hall-Littlewood polynomials, a formula of Sahi and Knop for Jack's symmetric functions, a generalization o...
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The Chebyshev polynomials have many beautiful properties and countless applications, arising in a variety of continuous settings. They are a sequence of orthogonal polynomials appearing in approximation theory, numerical integration, and differential equations. In this paper we approach them instead as discrete objects, counting the sum of weighted tilings. Using this combinatorial approach, on...
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this article is intended to be a survey on some combinatorial topics in group theory. the bibliography at the end is neither claimed to be exhaustive, nor is it necessarily connected with a reference in the text. i include it as i see it revolves around the concepts which are discussed in the text.
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Let α = (α1, α2, · · · , αm) ∈ R>0. Let αi,j be the vector obtained from α by deleting the entries αi and αj . Besser and Moree [1] introduced some invariants and near invariants related to the solutions ∈ {±1}m−2 of the linear inequality |αi −αj | < 〈 , αi,j〉 < αi +αj , where 〈, 〉 denotes the usual inner product and αi,j the vector obtained from α by deleting αi and αj . The main result of Bes...
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 2019
ISSN: 0008-414X,1496-4279
DOI: 10.4153/s0008414x19000464