Stuart Margolis ; Franco Saliola ; Benjamin Steinberg - Poset topology and homological invariants of algebras arising in algebraic combinatorics

dmtcs:2381 - Discrete Mathematics & Theoretical Computer Science, January 1, 2014, DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014) - https://doi.org/10.46298/dmtcs.2381
Poset topology and homological invariants of algebras arising in algebraic combinatoricsArticle

Authors: Stuart Margolis 1; Franco Saliola 2; Benjamin Steinberg 3

We present a beautiful interplay between combinatorial topology and homological algebra for a class of monoids that arise naturally in algebraic combinatorics. We explore several applications of this interplay. For instance, we provide a new interpretation of the Leray number of a clique complex in terms of non-commutative algebra.

https://doi.org/10.46298/dmtcs.2381
Source: HAL:hal-01207594v1
Volume: DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)
Section: Proceedings
Published on: January 1, 2014
Imported on: November 21, 2016
Keywords: left regular band,hyperplane arrangement,order complex,cohomology,poset topology,CW poset,Leray number,chordal graph,global dimension,hereditary algebra,(minimal) projective resolutions,Koszul algebra.,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM],[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO]
Funding:
    Source : OpenAIRE Graph
  • Funder: Natural Sciences and Engineering Research Council of Canada

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