On the minimal power of q in a Kazhdan-Lusztig polynomial
Abstract
For w in the symmetric group, we provide an exact formula for the smallest positive power qh(w) appearing in the Kazhdan-Lusztig polynomial Pe,w(q). We also provide a tight upper bound on h(w) in simply-laced types, resolving a conjecture of Billey-Postnikov from 2002.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.