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math.RT2018★ 1 cited
An identity of parabolic Kazhdan-Lusztig polynomials arising from square-irreducible modules
Maxim Gurevich
We show a precise formula, in the form of a monomial, for certain families of parabolic Kazhdan-Lusztig polynomials of the symmetric group. The proof stems from results of Lapid-Mi…
math.RT2018
On restriction of unitarizable representations of general linear groups and the non-generic local Gan-Gross-Prasad conjecture
Maxim Gurevich
We prove one direction of a recently posed conjecture by Gan-Gross-Prasad, which predicts the branching laws that govern restriction from p-adic to of irreducible…