The derived categories of some blocks of symmetric groups and a conjecture of Broué

DOI10.1006/jabr.1998.7780zbMath0939.20009OpenAlexW1966888854WikidataQ123008921 ScholiaQ123008921MaRDI QIDQ1305067

Joseph Chuang

Publication date: 27 October 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1998.7780

zbMATH Keywords

Morita equivalencessymmetric groupsfinite groupsdefect groupsderived equivalencesprincipal blocks\(p\)-blocksRickard tilting complexesmodule categoriessplendid Rickard equivalences

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Module categories in associative algebras (16D90) Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items

Irreducible Specht modules are signed Young modules., On central idempotents in the Brauer algebra, On Young modules of defect \(2\) blocks of symmetric group algebras, Cubist algebras., Runner Removal Morita Equivalences, Representation theory of symmetric groups and related Hecke algebras, Derived equivalences for the 3-dimensional special unitary groups in non-defining characteristic, Equivalent blocks of finite general linear groups in non-describing characteristic., Maximal Strings in the Crystal Graph of Spin Representations of the Symmetric and Alternating Groups, Broué's conjecture holds for principal 3-blocks with elementary Abelian defect group of order 9, Hochschild cohomology and Linckelmann cohomology for blocks of finite groups.

Cites Work

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• Derived equivalence for cyclic blocks over a \(p\)-adic ring
• Isométries de caractères et équivalences de Morita ou dérivées. (Isometries of characters and Morita or derived equivalences)
• Diagrams for modules
• Cartan matrices and Morita equivalence for blocks of the symmetric groups
• On the vertices of irreducible modules
• Derived categories and stable equivalence
• On equivalences between blocks of group algebras: Reduction to the simple components
• Stable equivalences of Morita type for self-injective algebras and \(p\)-groups
• Morita Theory for Derived Categories
• ON THE ORDINARY QUIVER OF THE PRINCIPAL BLOCK OF CERTAIN SYMMETRIC GROUPS
• PROJECTIVE INDECOMPOSABLE MODULES FOR SYMMETRIC GROUPS I
• Quiver and Relations for the Principal p -Block of σ_2p
• Derived Equivalences As Derived Functors
• SYMMETRIC GROUP BLOCKS OF DEFECT TWO
• Some decomposition numbers for Hecke algebras of general linear groups
• Splendid Equivalences: Derived Categories and Permutation Modules
• Modular representations of symmetric groups