6 papers
Graded Specht modules as Bernstein-Zelevinsky derivatives of the RSK model
Maxim Gurevich
We clarify the links between the graded Specht construction of modules over cyclotomic Hecke algebras and the RSK construction for quiver Hecke algebras of type A, that was recentl…
Simple modules for quiver Hecke algebras and the Robinson-Schensted-Knuth correspondence
Maxim Gurevich
We formalize some known categorical equivalences to give a rigorous treatment of smooth representations of p-adic general linear groups, as ungraded modules over quiver Hecke algeb…
Cyclic representations of general linear p-adic groups
Maxim Gurevich, Alberto Minguez
Let be smooth irreducible representations of -adic general linear groups. We prove that the parabolic induction product has a unique…
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…
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…
A filtration on rings of representations of non-Archimedean
Maxim Gurevich
Let be a -adic field. Let be the Grothendieck ring of complex smooth finite-length representations of the groups taken together, wit…