Noncommutative Koszul algebras from combinatorial topology

DOI10.1515/CRELLE.2010.065zbMath1225.16012arXiv0811.3450OpenAlexW3104505146MaRDI QIDQ3163862

Brad Shelton, Thomas Cassidy, Christopher Phan

Publication date: 27 October 2010

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.3450

zbMATH Keywords

quadratic algebrasKoszul algebrasfinite regular CW-complexes

Mathematics Subject Classification ID

Directed graphs (digraphs), tournaments (05C20) Abstract complexes in algebraic topology (55U05) Quadratic and Koszul algebras (16S37)

Related Items (6)

Hilbert series of algebras associated to directed graphs and order homology. ⋮ Splitting algebras: Koszul, Cohen-Macaulay and numerically Koszul. ⋮ 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.

Cites Work

• On a class of Koszul algebras associated to directed graphs.
• Hilbert series of quadratic algebras associated with pseudo-roots of noncommutative polynomials
• The quadratic algebras associated with pseudo-roots of noncommutative polynomials are Koszul algebras.
• Hilbert series of algebras associated to directed graphs.
• ALGEBRAS ASSOCIATED TO PSEUDO-ROOTS OF NONCOMMUTATIVE POLYNOMIALS ARE KOSZUL

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