Broué's conjecture for the nonprincipal block of \(\text{SL}(2,q)\) with full defect.

DOI10.1016/J.JALGEBRA.2009.01.024zbMath1181.20009OpenAlexW2077192759WikidataQ123272695 ScholiaQ123272695MaRDI QIDQ1028301

Yutaka Yoshii

Publication date: 30 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.01.024

zbMATH Keywords

derived equivalencesBroué conjecturetilting complexesAbelian defect group conjecture

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items (3)

The \(p\)-adic group ring of \(\mathrm{SL}_2(p^f)\). ⋮ The strengthened Broué abelian defect group conjecture for \(\mathrm{SL} (2,p^n)\) and \(\mathrm{GL} (2,p^n)\) ⋮ Perverse equivalence in \(SL(2,q)\)

Cites Work

• Derived equivalences for group rings
• On equivalences between blocks of group algebras: Reduction to the simple components
• Derived equivalence in 𝑆𝐿₂(𝑝²)
• Morita Theory for Derived Categories
• On the cartan invariants of sl₂(_q)
• The Projective Indecomposable Modules of SL(2, p ⁿ )
• Tilting complexes for group graded algebras
• Splendid Equivalences: Derived Categories and Permutation Modules
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