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.
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Ian Grojnowski and Mark Haiman (preprint) proved a positivity conjecture for LLT polynomials that combined with the previous result implies the Macdonald positivity conjecture for Macdonald polynomials, and extended the definition of LLT polynomials to arbitrary finite root systems.
polynomial | Degree of a polynomial | Polynomial-time approximation scheme | Monic polynomial | Jones polynomial | Irreducible polynomial | Polynomial-time reduction | polynomial-time approximation scheme | Polynomial | Lagrange polynomial | (Lagrange) polynomial | HOMFLY(PT) polynomial | HOMFLY polynomial | Donaldson's polynomial invariants |