Representations of finite sets and correspondences

DOI10.1090/conm/758/15231zbMath1484.18002OpenAlexW4380300448MaRDI QIDQ4965242

Serge Bouc

Publication date: 26 February 2021

Published in: Representation Theory and Beyond (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/758/15231

zbMATH Keywords

posetcorrespondencefunctor categoryfinite lengthfinite 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)

Uses Software

• GAP

Cites Work

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• The algebra of Boolean matrices, correspondence functors, and simplicity
• FI-modules and stability for representations of symmetric groups
• Representation stability and finite linear groups
• Structure of the rational monoid algebra for Boolean matrices of order 3
• Categories of dimension zero
• On Representatives of Subsets
• Spaces with Given Homeomorphism Groups

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