Relative projectivity and the Green correspondence for complexes

DOI10.1016/j.jalgebra.2020.05.029zbMath1476.20010arXiv2001.05380OpenAlexW3035622462MaRDI QIDQ2193228

Carlson, Jon F., Ji Ping Zhang, Li-Zhong Wang

Publication date: 25 August 2020

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

Full work available at URL: https://arxiv.org/abs/2001.05380

zbMATH Keywords

homotopy categoryderived categoryGreen correspondence

Mathematics Subject Classification ID

Modular representations and characters (20C20) Derived categories, triangulated categories (18G80)

Related Items (2)

Green equivalences in equivariant mathematics ⋮ Clifford's theorem for orbit categories

Cites Work

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• Stable Green equivalences in bounded derived categories
• A block extension of categorical results in the Green correspondence context.
• Almost-split sequences and group rings
• Nilpotent elements in the Green ring
• Transfer maps and virtual projectivity
• Adjoint functors and an extension of the Green correspondence for group representations
• Chain complexes and stable categories
• A transfer theorem for modular representations
• Relative module categories for finite groups
• Triangulated Categories
• The Green Correspondence for Infinitely Generated Modules
• Higher algebraic K-theory: I
• Idempotent completion of triangulated categories

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