130 citations · 220 across the 8 of their papers we have counts for
9 papers
A binary operation on irreducible components of Lusztig's nilpotent varieties {II}: applications and conjectures for representations of over a non-archimedean local field
Erez Lapid, Alberto Minguez
In the first part of the paper we defined and studied a binary operation on the set of irreducible components of Lusztig's nilpotent varieties of a quiver. For type we conjectu…
The explicit Zelevinsky-Aubert duality
Hiraku Atobe, Alberto Minguez
In this paper, we give an explicit computable algorithm for the Zelevinsky-Aubert dual of irreducible representations of -adic symplectic and odd special orthogonal groups. To d…
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…
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…
Geometric conditions for -irreducibility of certain representations of the general linear group over a non-archimedean local field
Erez Lapid, Alberto Minguez
Let be an irreducible, complex, smooth representation of over a local non-archimedean (skew) field. Assuming has regular Zelevinsky parameters, we give a geometric n…
The -modular Zelevinski involution
Alberto Mínguez, Vincent Sécherre
Let F be a non-Archimedean locally compact field with residual characteristic p, let G be an inner form of GL(n,F) for a positive integer n and let R be an algebraically closed fie…