In their main work of 1979 [ 4] Kazhdan and Lusztig introduced a family of polynomials, indexed by pairs of elements in a Coxeter group, which soon became well known thanks to their applications in different contexts such as in the geometry of Schubert varieties and in representation theory. In order to prove the existence of these polynomials, known as the Kazhdan–Lusztig polynomials, another family of polynomials was defined, the R-polynomials, (see, for example, [ 3, Section 7.5], or [ 1… CONTINUE READING