Hochschild cohomology related to graded down-up algebras with weights (1,n)

DOI10.1142/S0219498821501310zbMath1484.18015arXiv1904.00677MaRDI QIDQ4998000

Ayako Itaba, Kenta Ueyama

Publication date: 1 July 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.00677

zbMATH Keywords

Hochschild cohomologyderived equivalencedown-up algebraBeilinson algebra

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Syzygies, resolutions, complexes in associative algebras (16E05) Derived categories, triangulated categories (18G80)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The structure of AS-Gorenstein algebras.
• Hochschild homology and cohomology of down-up algebras
• Down-up algebras
• Centers of down-up algebras
• Noncommutative projective schemes
• The trace of the Coxeter matrix and Hochschild cohomology
• Down-up algebras and their representation theory
• Ideal classes of three-dimensional Sklyanin algebras.
• Zariski cancellation problem for non-domain noncommutative algebras
• Hochschild cohomology of noncommutative planes and quadrics
• Invariant theory of finite group actions on down-up algebras
• \(n\)-representation infinite algebras.
• Fixed subrings of Noetherian graded regular rings.
• Hochschild cohomology of Abelian categories and ringed spaces
• Deformation theory of abelian categories
• REPRESENTABLE FUNCTORS, SERRE FUNCTORS, AND MUTATIONS
• Noetherian down-up algebras
• HOMOLOGICAL PROPERTIES OF ASSOCIATIVE ALGEBRAS: THE METHOD OF HELICES
• Projective bimodule resolutions of an algebra and vanishing of the second Hochschild cohomology group
• A Hopf structure for down-up algebras

This page was built for publication: Hochschild cohomology related to graded down-up algebras with weights (1,n)