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arXiv · 1705.06517

Conjectures about certain parabolic Kazhdan--Lusztig polynomials

Erez Lapid
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Abstract

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.

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Erez Lapid. 2018-02-18. Conjectures about certain parabolic Kazhdan--Lusztig polynomials. https://doi.org/10.1007/978-3-319-94833-1_9

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