OpenAI reports combinatorial invariance of Kazhdan–Lusztig polynomials
- Mathematics
Every order isomorphism between Bruhat intervals in arbitrary Coxeter systems preserves the corresponding equal-parameter Kazhdan–Lusztig polynomial.
OpenAI reports combinatorial invariance of Kazhdan–Lusztig polynomials
- Mathematics
Every order isomorphism between Bruhat intervals in arbitrary Coxeter systems preserves the corresponding equal-parameter Kazhdan–Lusztig polynomial.
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Read the background
Every order isomorphism between Bruhat intervals in arbitrary Coxeter systems preserves the corresponding equal-parameter Kazhdan–Lusztig polynomial.
Why it matters
If correct, resolves the full combinatorial-invariance conjecture across Coxeter systems.
What counts as progress
Does a Bruhat interval’s order determine its equal-parameter Kazhdan–Lusztig polynomial?
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OpenAI reports combinatorial invariance of Kazhdan–Lusztig polynomials