Algebraic fundamental group and simplicial complexes.

DOI10.1016/S0022-4049(02)00071-3zbMath1047.16006arXivmath/0103211OpenAlexW2088477919MaRDI QIDQ1861480

Eric Reynaud

Publication date: 9 March 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0103211

zbMATH Keywords

quiverssimplicial complexesfundamental groupsposetsincidence algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Representations of quivers and partially ordered sets (16G20) Fundamental group, presentations, free differential calculus (57M05) Algebraic aspects of posets (06A11)

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The classifying space of a bound quiver., Quotients of Incidence Algebras and the Euler Characteristic, ON THE FUNDAMENTAL GROUP OF A SCHURIAN ALGEBRA, Simply connected incidence algebras., Some classes of abstract simplicial complexes motivated by module theory, Gcd-monoids arising from homotopy groupoids, Cartan-Leray spectral sequence for Galois coverings of linear categories, Strongly simply connected Schurian algebras and multiplicative bases., Computing the Hochschild Cohomology Groups of Some Families of Incidence Algebras, Simplicial complexes from finite projective planes and colored configurations

Cites Work

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• HOCHSCHILD COHOMOLOGY AND FUNDAMENTAL GROUPS OF INCIDENCE ALGEBRAS
• Graphs with Relations, Coverings and Group-Graded Algebras
• The fundamental groups of a triangular algebra