Blocks of the category of smooth \(\ell\)-modular representations of \(\mathrm{GL}(n,F)\) and its inner forms: reduction to level 0
From MaRDI portal
Publication:1621978
DOI10.2140/ANT.2018.12.1675zbMath1477.20020arXiv1705.05261OpenAlexW2616635041MaRDI QIDQ1621978
Publication date: 12 November 2018
Published in: Algebra \& Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.05261
Hecke algebrasblockstype theoryequivalence of categoriesmodular representations of p-adic reductive groupslevel-0 representationssemisimple types
Modular representations and characters (20C20) Representations of Lie and linear algebraic groups over local fields (22E50)
Related Items (4)
Block decomposition of the category of smooth \(\ell\)-modular representations of finite length of \(\mathrm{GL}_m(D)\) ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ Endo-parameters for \(p\)-adic classical groups ⋮ Cuspidal \(\ell\)-modular representations of \(p\)-adic classical groups
Cites Work
- Unnamed Item
- \(\ell\)-integral nonabelian Lubin-Tate theory
- Smooth representations of \(\text{GL}_m(D)\). V: Endo-classes
- Hecke algebra with respect to the pro-\(p\)-radical of a maximal compact open subgroup for \(\mathrm{GL}(n,F)\) and its inner forms
- On semisimple \(\ell\)-modular Bernstein-blocks of a \(p\)-adic general linear group
- Induced \(R\)-representations of \(p\)-adic reductive groups
- Local tame lifting for \(GL(N)\). I: Simple characters
- Equivalences of tame blocks for \(p\)-adic linear groups
- Some properties of covering pairs
- \(l\)-modular representations of a \(p\)-adic reductive group with \(l\neq p\)
- Smooth representations modulo \(\ell\) of \(\mathrm{GL}_m(D)\)
- Smooth Representations of GLm(D) VI: Semisimple Types
- Types modulo ℓ pour les formes intérieures de GLnsur un corps local non archimédien
- The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
- Représentations lisses de GL(m, D) II : β-extensions
- Représentations lisses de GLm(D)GLm(D), III : types simples
- Hecke algebras
- REPRÉSENTATIONS LISSES DE $\mathrm{GL}_{m}(\mathrm{D})$ IV : REPRÉSENTATIONS SUPERCUSPIDALES
- Smooth representations of reductive p -ADIC groups: structure theory via types
- Représentations lisses de $\textup {GL} (m,D)$ I : caractères simples
- THE BERNSTEIN CENTER OF THE CATEGORY OF SMOOTH -MODULES
This page was built for publication: Blocks of the category of smooth \(\ell\)-modular representations of \(\mathrm{GL}(n,F)\) and its inner forms: reduction to level 0