- Macdonald polynomial
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Any of a two-parameter family of orthogonal polynomials indexed by a positive weight of a root system.
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Macdonald polynomial
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Macdonald polynomial — In mathematics, Macdonald polynomials P λ are a two parameter family of orthogonal polynomials indexed by a positive weight λ of a root system, introduced by Ian G. Macdonald (1987). They generalize several other families of orthogonal… … Wikipedia
LLT polynomial — In mathematics, an LLT polynomial is one of a family of symmetric functions introduced by Alain Lascoux, Bernard Leclerc, and Jean Yves Thibon (1997) as q analogues of products of Schur functions.J. Haglund, M. Haiman, N. Loehr (2005) showed how… … Wikipedia
Ian G. Macdonald — (born 1928 in London, England) is a British mathematician known for his contributions to symmetric functions, special functions, Lie algebra theory and other aspects of algebraic combinatorics (see also combinatorics).He was educated at… … Wikipedia
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Complete homogeneous symmetric polynomial — In mathematics, specifically in algebraic combinatorics and commutative algebra, the complete homogeneous symmetric polynomials are a specific kind of symmetric polynomials. Every symmetric polynomial can be expressed as a polynomial expression… … Wikipedia
Elementary symmetric polynomial — In mathematics, specifically in commutative algebra, the elementary symmetric polynomials are one type of basic building block for symmetric polynomials, in the sense that any symmetric polynomial P can be expressed as a polynomial in elementary… … Wikipedia
Hall polynomial — The Hall polynomials in mathematics were developed by Philip Hall in the 1950s in the study of group representations. These polynomials are the structure constants of a certain associative algebra, called the Hall algebra, which plays an… … Wikipedia
List of special functions and eponyms — This is a list of special function eponyms in mathematics, to cover the theory of special functions, the differential equations they satisfy, named differential operators of the theory (but not intended to include every mathematical eponym).… … Wikipedia
N!-conjecture — In mathematics, the n! conjecture is the conjecture that the dimension of a certain bi graded module of diagonal harmonics is n!. It was made by A. M. Garsia and proved by M. Haiman. It implies Macdonald s positivity conjecture about his… … Wikipedia
