Correspondence functors and lattices

DOI10.1016/J.JALGEBRA.2018.10.019zbMath1467.06006arXiv1902.05444OpenAlexW2899408061WikidataQ129073901 ScholiaQ129073901MaRDI QIDQ1630111

Serge Bouc, Jacques Thévenaz

Publication date: 7 December 2018

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

Full work available at URL: https://arxiv.org/abs/1902.05444

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) Preadditive, additive categories (18E05) Categories of sets, characterizations (18B05) Categories of spans/cospans, relations, or partial maps (18B10)

Related Items (9)

Tensor product of correspondence functors ⋮ The algebra of Boolean matrices, correspondence functors, and simplicity ⋮ Generalized correspondence functors ⋮ Ehresmann theory and partition monoids ⋮ Representations of finite sets and correspondences ⋮ Simple and projective correspondence functors ⋮ Idempotents in the endomorphism algebra of a finite lattice ⋮ Correspondence functors and duality ⋮ Germs in a poset

Cites Work

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• The algebra of essential relations on a finite set.
• Correspondence functors and finiteness conditions
• Set functors equipped with a double action
• Simple biset functors and double Burnside ring
• The planar rook algebra and Pascal's triangle.

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