Derived equivalences for the 3-dimensional special unitary groups in non-defining characteristic

DOI10.1006/JABR.2000.8692zbMath0981.20005OpenAlexW1975443338MaRDI QIDQ5938609

Katsushi Waki, Naoko Kunugi

Publication date: 28 November 2001

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

Full work available at URL: https://semanticscholar.org/paper/74cbf6b2e567fe6cc553d621fbea3787255e2452

zbMATH Keywords

derived equivalencesspecial unitary groupsBroué conjectureprincipal \(p\)-blockssplendid equivalences

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of finite groups of Lie type (20C33)

Cites Work

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• The derived categories of some blocks of symmetric groups and a conjecture of Broué
• Derived equivalences for group rings
• Broué's conjecture holds for principal 3-blocks with elementary Abelian defect group of order 9
• Derived categories and stable equivalence
• Decomposition numbers of \(\text{SU}(3,q^2)\)
• Stable equivalences of Morita type for self-injective algebras and \(p\)-groups
• Irreducible brauer characters of the 3-dimensional special unitary groups in non-defining characteristic^∗
• Morita Theory for Derived Categories
• Derived Equivalences As Derived Functors
• Splendid Equivalences: Derived Categories and Permutation Modules

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