Monoid algebras of projection functors.

DOI10.1016/j.jalgebra.2012.07.002zbMath1269.16012arXiv1203.1943OpenAlexW2964241893MaRDI QIDQ1946097

Anna-Louise Grensing

Publication date: 17 April 2013

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

Full work available at URL: https://arxiv.org/abs/1203.1943

zbMATH Keywords

presentationscanonical formspath algebrassimple modulesDynkin quiversGabriel quiversCatalan monoidsHecke-Kiselman semigroupsidempotent endofunctorsmonoids of functorsprojection functors

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Semigroups of transformations, relations, partitions, etc. (20M20) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Free semigroups, generators and relations, word problems (20M05) Representations of quivers and partially ordered sets (16G20) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (5)

Classification problems in 2-representation theory ⋮ Combinatorics and structure of Hecke–Kiselman algebras ⋮ Finitary 2-categories associated with dual projection functors ⋮ Categorification of the Catalan monoid. ⋮ A graph-dynamical interpretation of Kiselman's semigroups

Cites Work

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• 0-Hecke algebras of finite Coxeter groups.
• On the representation theory of finite \(J\)-trivial monoids
• Lectures on algebraic categorification
• Tame algebras and integral quadratic forms
• The Hecke group algebra of a Coxeter group and its representation theory.
• Perpendicular categories with applications to representations and sheaves
• On Kiselman quotients of 0-Hecke monoids
• Semi-Invariants of Quivers

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