Combinatorics · Oct 6, 2026

Combinatorial invariance of Kazhdan–Lusztig polynomials

Resolves the full combinatorial invariance conjecture: isomorphic Bruhat intervals in arbitrary Coxeter systems have identical equal-parameter Kazhdan–Lusztig polynomials. Thus the abstract order of the interval determines the polynomial, even across different Coxeter systems.

Contributors

Unreleased OpenAI model

AI systems: Unreleased OpenAI model

Sources