Representations of finite groups. Local cohomology and support.

DOI10.1007/978-3-0348-0260-4zbMath1246.20002arXiv1107.4815OpenAlexW1543715988MaRDI QIDQ642884

Henning Krause, Srikanth B. Iyengar, David John Benson

Publication date: 27 October 2011

Published in: Oberwolfach Seminars (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.4815

zbMATH Keywords

finite groupscohomology ringsderived categoriestriangulated categorieslocal cohomologysupportTate cohomologymodular representationsstable module categoriesstratificationsKlein four grouplocal-global principlescohomological support varietiesBGG correspondencelocalising subcategoriestensor closed

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Modular representations and characters (20C20) Cohomology of groups (20J06) Stable homotopy theory, spectra (55P42) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05) Local cohomology and commutative rings (13D45) Research exposition (monographs, survey articles) pertaining to group theory (20-02) Derived categories and associative algebras (16E35)

Related Items (9)

Stratifying the derived category of cochains on \(BG\) for \(G\) a compact Lie group ⋮ Stratification for module categories of finite group schemes ⋮ Homological support of big objects in tensor-triangulated categories ⋮ Unnamed Item ⋮ Detecting projectivity in sheaves associated to representations of infinitesimal groups ⋮ The algebraic chromatic splitting conjecture for Noetherian ring spectra ⋮ Local duality for representations of finite group schemes ⋮ Thick subcategories of the stable category of modules over the exterior algebra ⋮ Tensor triangular geometry for classical Lie superalgebras

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