On \(n\)-translation algebras

DOI10.1016/j.jalgebra.2015.08.006zbMath1376.16015arXiv1406.6136OpenAlexW2963603923MaRDI QIDQ5965123

Jin-Yun Guo

Publication date: 2 March 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.6136

zbMATH Keywords

\((p, q)\)-Koszul algebra\(n\)-almost splitting sequences\(n\)-translation algebra\(n\)-translation quiverperiodic algebra

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10) Quadratic and Koszul algebras (16S37)

Related Items (10)

On \(n\)-cubic pyramid algebras ⋮ Higher zigzag algebras ⋮ On connected components of skew group algebras ⋮ Quasi-hereditary covers of higher zigzag algebras of type \(A\) ⋮ Tensor products of higher almost split sequences in subcategories ⋮ ℤ Q type constructions in higher representation theory ⋮ \(n\)-APR tilting and \(\tau\)-mutations ⋮ On trivial extensions and higher preprojective algebras ⋮ On \(n\)-slice algebras and related algebras ⋮ Projective resolutions of simples of n-cubic algebras

Cites Work

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• Auslander correspondence.
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• Translation algebras and their applications.
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• Cluster algebras, quiver representations and triangulated categories
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• The preprojective algebra of a tame hereditary artin algebra
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