Cell complexes, poset topology and the representation theory of algebras arising in algebraic combinatorics and discrete geometry

DOI10.1090/memo/1345OpenAlexW2282206250MaRDI QIDQ5063338

Benjamin Steinberg, Stuart W. Margolis, Franco V. Saliola

Publication date: 17 March 2022

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.05446

zbMATH Keywords

finite dimensional algebrasquiversoriented matroidshyperplane arrangementszonotopesleft regular bandsCAT(0) cube complexesregular cell complexesCAT(0) zonotopal complexes

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Combinatorial aspects of representation theory (05E10) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Representations of associative Artinian rings (16G10) Semigroup rings, multiplicative semigroups of rings (20M25) Homological dimension in associative algebras (16E10) Oriented matroids in discrete geometry (52C40) Representation of semigroups; actions of semigroups on sets (20M30) Quadratic and Koszul algebras (16S37) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

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