Flipclasses and Combinatorial Invariance for Kazhdan–Lusztig polynomials
arxiv(2024)
摘要
In this work, we investigate a new approach to the Combinatorial Invariance
Conjecture of Kazhdan–Lusztig polynomials for the symmetric group. We
introduce some new combinatorial invariants of intervals in the symmetric group
whose analysis leads us to a recipe to compute the coefficients of q^h of the
Kazhdan–Lusztig R-polynomials, for h≤ 6. This recipe
depends only on the isomorphism class (as a poset) of the interval indexing the
polynomial and thus provides new evidence for the Combinatorial Invariance
Conjecture.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要