Representation theory of towers of recollement: theory, notes, and examples.

DOI10.1016/j.jalgebra.2006.01.009zbMath1147.16016arXivmath/0411395OpenAlexW2140686870WikidataQ61847547 ScholiaQ61847547MaRDI QIDQ852678

Anton Cox, Changchang Xi, Alison E. Parker, Paul P. Martin

Publication date: 15 November 2006

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

Full work available at URL: https://arxiv.org/abs/math/0411395

zbMATH Keywords

Brauer algebrasquasi-hereditary algebrasdiagram algebrastowers of algebrascyclotomic Temperley-Lieb algebrasblob algebrascontour algebras

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of quivers and partially ordered sets (16G20)

Related Items

On representations of Fuss-Catalan algebras, On Decomposition Numbers of Diagram Algebras, On central idempotents in the Brauer algebra, Constructing cell data for diagram algebras., Decomposition numbers for Brauer algebras of type \(G(m,p,n)\) in characteristic zero., Alcove geometry and a translation principle for the Brauer algebra., The limiting blocks of the Brauer algebra in characteristic \(p\), On the modular representation theory of the partition algebra, Tonal partition algebras: fundamental and geometrical aspects of representation theory, On the decomposition matrix of the partition algebra in positive characteristic., Motzkin algebras, Indecomposable tilting modules for the blob algebra, Diagrammatic Kazhdan-Lusztig theory for the (walled) Brauer algebra., Towers of recollement and bases for diagram algebras: planar diagrams and a little beyond., The blocks of the Brauer algebra in characteristic zero, On the blocks of the walled Brauer algebra., Cellularity and the Jones basic construction., Canonical idempotents of multiplicity-free families of algebras, Inductions and restrictions on towers of cellularly stratified diagram algebras, On geometrically defined extensions of the Temperley-Lieb category in the Brauer category, The skein category of the annulus, Irreducibility of certain \(\text{FC}_n\)-modules

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