68 citations · 421 across the 29 of their papers we have counts for
5 papers · 1 filter
Some combinatorial results on smooth permutations
Shoni Gilboa, Erez Lapid
We show that any smooth permutation is characterized by the set of transpositions and -cycles in the Bruhat interval , and that i…
Conjectures and results about parabolic induction of representations of
Erez Lapid, Alberto Minguez
In 1980 Zelevinsky introduced commuting varieties whose irreducible components classify complex, irreducible representations of the general linear group over a non-archimedean loca…
Explicit decomposition of certain induced representations of the general linear group
Erez Lapid
We provide some experimental results on the decomposition of the parabolic induction of in the Grothendieck group where is an irreducible representation of o…
On the remainder term of the Weyl law for congruence subgroups of Chevalley groups
Tobias Finis, Erez Lapid
Let be a locally symmetric space defined by a simple Chevalley group and a congruence subgroup of . In this generality, the Weyl law for was proved by Lin…
Robinson-Schensted-Knuth correspondence in the representation theory of the general linear group over a non-archimedean local field
Maxim Gurevich, Erez Lapid
We construct new "standard modules" for the representations of general linear groups over a local non-archimedean field. The construction uses a modified Robinson-Schensted-Knuth c…