Relatively stable equivalences of Morita type for blocks

DOI10.1016/j.jpaa.2017.10.015zbMath1397.20025OpenAlexW2761980370MaRDI QIDQ1748121

Ji Ping Zhang, Li-Zhong Wang

Publication date: 2 May 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2017.10.015

Mathematics Subject Classification ID

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

Related Items (4)

Relative stable categories and birationality ⋮ Green correspondence and relative projectivity for pairs of adjoint functors between triangulated categories ⋮ Relative stable equivalences of Morita type for the principal blocks of finite groups and relative Brauer indecomposability ⋮ Clifford's theorem for orbit categories

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A block extension of categorical results in the Green correspondence context.
• On stable equivalences and blocks with one simple module.
• A Frobenius theorem for blocks
• On the vertices of irreducible modules
• Transfer maps and virtual projectivity
• Adjoint functors and an extension of the Green correspondence for group representations
• Relative projectivity and ideals in cohomology rings
• Stable equivalences of Morita type for self-injective algebras and \(p\)-groups
• Triangulated Categories
• A reduction theorem for the blockwise Alperin weight conjecture
• Adjoint Functors and Triangulated Categories
• The stable equivalence for algebras of finite representation type
• Algebras and their automorphism groups

This page was built for publication: Relatively stable equivalences of Morita type for blocks