Equivalences of tame blocks for \(p\)-adic linear groups

DOI10.1007/s00208-018-1648-1zbMath1403.11074arXiv1603.07226OpenAlexW2963564681MaRDI QIDQ1751036

Jean-François Dat

Publication date: 23 May 2018

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.07226

zbMATH Keywords

tame blocksDeligne-Lusztig cohomology

Mathematics Subject Classification ID

Classical groups (algebro-geometric aspects) (14L35) Representations of Lie and linear algebraic groups over local fields (22E50) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items (6)

Blocks of the category of smooth \(\ell\)-modular representations of \(\mathrm{GL}(n,F)\) and its inner forms: reduction to level 0 ⋮ Block decomposition of the category of smooth \(\ell\)-modular representations of finite length of \(\mathrm{GL}_m(D)\) ⋮ Unipotent \(\ell\)-blocks for simply connected \(p\)-adic groups ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ Cuspidal \(\ell\)-modular representations of \(p\)-adic classical groups ⋮ Equivalence of categories between coefficient systems and systems of idempotents

Cites Work

• Unnamed Item
• Derived categories and Deligne-Lusztig varieties. II.
• Green functions and character sheaves
• Induced \(R\)-representations of \(p\)-adic reductive groups
• Derived categories and Deligne-Lusztig varieties.
• Drinfeld symmetric space and local Langlands correspondence. II
• Resolutions for representations of reductive p-adic groups via their buildings
• A functoriality principle for blocks of 𝑝-adic linear groups
• THE BERNSTEIN CENTER OF THE CATEGORY OF SMOOTH -MODULES

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