Perverse equivalence in \(SL(2,q)\)

DOI10.1016/j.jalgebra.2021.02.031OpenAlexW3138437214MaRDI QIDQ2019292

Yanyan Li

Publication date: 20 April 2021

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

Full work available at URL: https://arxiv.org/abs/2003.00595

zbMATH Keywords

tilting complexrepresentation theoryderived equivalenceperverse equivalenceBroue's abelian defect conjecture

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Associative rings and algebras (16-XX)

Related Items (1)

The strengthened Broué abelian defect group conjecture for \(\mathrm{SL} (2,p^n)\) and \(\mathrm{GL} (2,p^n)\)

Cites Work

• Isométries de caractères et équivalences de Morita ou dérivées. (Isometries of characters and Morita or derived equivalences)
• Broué's conjecture for the nonprincipal block of \(\text{SL}(2,q)\) with full defect.
• Derived equivalences for group rings
• Derived categories and stable equivalence
• Equivalences of derived categories for symmetric algebras.
• Stable equivalences of Morita type for self-injective algebras and \(p\)-groups
• Derived equivalence in 𝑆𝐿₂(𝑝²)
• Morita Theory for Derived Categories
• On the cartan invariants of sl₂(_q)
• Quiver and relations forSL(2,pⁿ) in characteristicpwithpodd
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