On a class of algebras associated to directed graphs

DOI10.1007/s00029-005-0005-xzbMath1080.05040arXivmath/0506507OpenAlexW1994843559MaRDI QIDQ813311

Robert Lee Wilson, Shirlei Serconek, Vladimir S. Retakh, Israel M. Gel'fand

Publication date: 8 February 2006

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506507

zbMATH Keywords

linear basesNoncommutative algebras

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Directed graphs (digraphs), tournaments (05C20) Quadratic and Koszul algebras (16S37)

Related Items (15)

Hilbert series of algebras associated to directed graphs. ⋮ Algebras associated to acyclic directed graphs ⋮ Representations of \(\Aut(A(\Gamma))\) acting on homogeneous components of \(A(\Gamma)\) and \(A(\Gamma)^!\). ⋮ On a class of Koszul algebras associated to directed graphs. ⋮ Universal labeling algebras as invariants of layered graphs. ⋮ Hilbert series of algebras associated to directed graphs and order homology. ⋮ Splitting algebras: Koszul, Cohen-Macaulay and numerically Koszul. ⋮ Factorization theory: from commutative to noncommutative settings. ⋮ Koszul algebras and flow lattices ⋮ Weakly Cohen-Macaulay posets and a class of finite-dimensional graded quadratic algebras ⋮ The minimal non-Koszul A(Γ) ⋮ From factorizations of noncommutative polynomials to combinatorial topology. ⋮ Koszulity of splitting algebras associated with cell complexes. ⋮ Möbius Polynomials of Face Posets of Convex Polytopes ⋮ Representations of automorphism groups of algebras associated to star polygons

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