Irreducibility results for parabolic induction of representations of the general linear group over a local non-archimedean field can be formulated in terms of Kazhdan--Lusztig polynomials of type $A$. Spurred by these results and some computer calculations, we conjecture that certain alternating sums of Kazhdan--Lusztig polynomials known as parabolic Kazhdan--Lusztig polynomials satisfy properties analogous to those of the ordinary ones.
CITATION STYLE
Lapid, E. (2018). Conjectures About Certain Parabolic Kazhdan–Lusztig Polynomials (pp. 267–297). https://doi.org/10.1007/978-3-319-94833-1_9
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