Poset topology and homological invariants of algebras arising in algebraic combinatorics

Poset topology and homological invariants of algebras arising in algebraic combinatorics

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...

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Bibliographic Details
Main Authors: Stuart Margolis, Franco Saliola, Benjamin Steinberg
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2014-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
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]
Online Access:https://dmtcs.episciences.org/2381/pdf

Internet

https://dmtcs.episciences.org/2381/pdf

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