9 citations · 44 across the 9 of their papers we have counts for
10 papers
Block decomposition of the category of l-modular smooth representations of finite length of GL(m,D)
Bastien Drevon, Vincent Sécherre
Let F be a non-Archimedean locally compact field of residue characteristic p, let G be an inner form of GL(n,F) with n>0, and let l be a prime number different from p. We describe…
Galois self-dual cuspidal types and Asai local factors
U. K. Anandavardhanan, Robert Kurinczuk, Nadir Matringe +2
Let be a quadratic extension of non-archimedean locally compact fields of odd residual characteristic and be its non-trivial automorphism. We show that any $…
Supercuspidal representations of distinguished by a Galois involution
Vincent Sécherre
Let be a quadratic extension of non-Archimedean locally compact fields of residual characteristic , and let denote its non-trivial automorphism. Let be an a…
Towards an explicit local Jacquet-Langlands correspondence beyond the cuspidal case
Vincent Sécherre, Shaun Stevens
We show how the modular representation theory of inner forms of general linear groups over a non-Archimedean local field can be brought to bear on the complex theory in a remarkabl…
Modular representations of GL(n) distinguished by GL(n-1) over a p-adic field
Vincent Sécherre, C. G. Venketasubramanian
Let $\F$ be a non-Archimedean locally compact field, be the cardinality of its residue field, and be an algebraically closed field of characteristic not dividing $q…
The affine Yokonuma-Hecke algebra and the pro--Iwahori-Hecke algebra
Maria Chlouveraki, Vincent Sécherre
We prove that the affine Yokonuma-Hecke algebra defined by Chlouveraki and Poulain d'Andecy is a particular case of the pro--Iwahori-Hecke algebra defined by Vignéras.
Block decomposition of the category of l-modular smooth representations of GL(n,F) and its inner forms
Vincent Sécherre, Shaun Stevens
Let F be a non-Archimedean locally compact field of residue characteristic p, let D be a finite dimensional central division F-algebra and let R be an algebraically closed field of…
Modules universels de GL(3) sur un corps p-adique en caractéristique p
Rachel Ollivier, Vincent Sécherre
Let F be a p-adic field with residue class field k. We investigate the structure of certain mod p universal modules for GL(3,F) over the corresponding Hecke algebras. To this end,…
Smooth representations of GL_m(D) VI : semisimple types
Vincent Sécherre, Shaun Stevens
We give a complete description of the category of smooth complex representations of the multiplicative group of a central simple algebra over a locally compact nonarchimedean local…
Smooth representations of GL(m,D), V: Endo-classes
Paul Broussous, Vincent Sécherre, Shaun Stevens
Let F be a locally compact nonarchimedean local field. In this article, we extend to any inner form of GL(n) over F the notion of endo-class introduced by Bushnell and Henniart for…