On the essential algebra of the shifted Burnside biset functor

DOI10.1016/j.jalgebra.2022.12.017OpenAlexW4313367820MaRDI QIDQ2682832

Nadia Romero

Publication date: 1 February 2023

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

Full work available at URL: https://arxiv.org/abs/2212.00511

zbMATH Keywords

star operationmonomial Burnside ringessential algebrashifted Burnside biset functor

Mathematics Subject Classification ID

Special categories (18B99) Frobenius induction, Burnside and representation rings (19A22) Ideals in associative algebras (16D25) Associative rings and algebras arising under various constructions (16S99)

Uses Software

• GAP

Cites Work

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• Set functors equipped with a double action
• Simple modules over Green biset functors
• Fibered biset functors
• Diagonal \(p\)-permutation functors
• The center of a Green biset functor
• A ghost algebra of the double Burnside algebra in characteristic zero
• On fibred biset functors with fibres of order prime and four
• The ring of monomial representations. I: Structure theory

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