Correspondence functors and duality

DOI10.1016/j.jalgebra.2022.10.028OpenAlexW4309194116MaRDI QIDQ2109061

Jacques Thévenaz, Serge Bouc

Publication date: 20 December 2022

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2022.10.028

zbMATH Keywords

latticeposetcorrespondencefunctor categoryfinite setsimple functor

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Representation theory of lattices (06B15) Structure and representation theory of distributive lattices (06D05) Lattices and duality (06D50) Structure theory of lattices (06B05) Preorders, orders, domains and lattices (viewed as categories) (18B35) Preadditive, additive categories (18E05) Categories of sets, characterizations (18B05) Categories of spans/cospans, relations, or partial maps (18B10)

Cites Work

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• The algebra of essential relations on a finite set.
• Duality in relative homotopy theory
• Correspondence functors and lattices
• Correspondence functors and finiteness conditions
• Set functors equipped with a double action
• Tensor product of correspondence functors
• The algebra of Boolean matrices, correspondence functors, and simplicity
• Lectures on functor homology. Proceedings of the conference on functor homology, Nantes, France, April 2012
• Gröbner methods for representations of combinatorial categories
• Regularity of 𝐅𝐈-modules and local cohomology
• Simple and projective correspondence functors

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