Block decomposition of the category of smooth $\ell$-modular representations of finite length of $\mathrm{GL}_m(D)$ (Q6080098)

scientific article; zbMATH DE number 7756908

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English	Block decomposition of the category of smooth $\ell$-modular representations of finite length of $\mathrm{GL}_m(D)$	scientific article; zbMATH DE number 7756908

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instance of

scholarly article

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title

Block decomposition of the category of smooth $\ell$-modular representations of finite length of $\mathrm{GL}_m(D)$ (English)

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30 October 2023

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full work available at URL

https://arxiv.org/abs/2102.05898

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zbMATH Keywords

block

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extension

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length

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reduction mod $\ell$

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supercuspidal representation

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type

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Hereditary orders and embeddings of local fields in simple algebras

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The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)

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Hecke algebra with respect to the pro-$p$-radical of a maximal compact open subgroup for $\mathrm{GL}(n,F)$ and its inner forms

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Blocks of the category of smooth $\ell$-modular representations of $\mathrm{GL}(n,F)$ and its inner forms: reduction to level 0

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$\nu$-tempered representations of $p$-adic groups. I: $l$-adic case

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$\ell$-integral nonabelian Lubin-Tate theory

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A functoriality principle for blocks of 𝑝-adic linear groups

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Equivalences of tame blocks for $p$-adic linear groups

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Simple subquotients of big parabolically induced representations of $p$-adic groups

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Appendix: non-uniqueness of supercuspidal support for finite reductive groups

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The local Langlands correspondence for $GL_n$ in families

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Simple characters for principal orders in $M_m(D)$

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Level zero types and Hecke algebras for local central simple algebras

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THE BERNSTEIN CENTER OF THE CATEGORY OF SMOOTH -MODULES

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Smooth representations modulo $\ell$ of $\mathrm{GL}_m(D)$

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Types modulo ℓ pour les formes intérieures de GL<sub><i>n</i></sub>sur un corps local non archimédien

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Q2990072

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Local Jacquet-Langlands corespondence and congruences modulo $\ell$

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Q5612497

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Représentations lisses de $\textup {GL} (m,D)$ I : caractères simples

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Représentations lisses de GL(m, D) II : β-extensions

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Représentations lisses de GLm(D)GLm(D), III : types simples

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Proof of the Tadić conjecture (U0) on the unitary dual of GL m (D)

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REPRÉSENTATIONS LISSES DE $\mathrm{GL}_{m}(\mathrm{D})$ IV : REPRÉSENTATIONS SUPERCUSPIDALES

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Smooth Representations of GLm(D) VI: Semisimple Types

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Block decomposition of the category of $\ell$-modular smooth representations of $\mathrm{GL}_n(\mathrm{F})$ and its inner forms

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Q4126536

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$l$-modular representations of a $p$-adic reductive group with $l\neq p$

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Cohomology of sheaves on the building and $R$-representations

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Induced $R$-representations of $p$-adic reductive groups

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Q4662316

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published in

Annales de l’institut Fourier

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Identifiers

arXiv ID

2102.05898

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6080098

Block decomposition of the category of smooth \(\ell\)-modular representations of finite length of \(\mathrm{GL}_m(D)\) (Q6080098)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)