Kazhdan–Lusztig R-polynomials for pircons

Abstract

The purpose of this work is to provide a common combinatorial framework for some of the analogues and generalizations of Kazhdan–Lusztig R-polynomials that have appeared since the introduction of these remarkable polynomials (e.g., parabolic Kazhdan–Lusztig R-polynomials, Kazhdan–Lusztig R-polynomials of zircons, and Kazhdan–Lusztig–Vogan polynomials for fixed point free involutions).