Data on Kazhdan-Lusztig polynomials up to S_11 suggests superexponential growth of extremal coefficients, near-universal unimodality, and a conjectured closed family (1+v+...+v^l)^{k-1}.
Permutations with Kazhdan-Lusztig polynomial P_{id,w}(q) = 1 + q^h
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
Using resolutions of singularities introduced by Cortez and a method for calculating Kazhdan-Lusztig polynomials due to Polo, we prove the conjecture of Billey and Braden characterizing permutations w with Kazhdan-Lusztig polynomial P_{id,w}(q)=1+q^h for some h.
fields
math.RT 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Big data approach to Kazhdan-Lusztig polynomials
Data on Kazhdan-Lusztig polynomials up to S_11 suggests superexponential growth of extremal coefficients, near-universal unimodality, and a conjectured closed family (1+v+...+v^l)^{k-1}.