Gerasimov's theorem and N ‐Koszul algebras

DOI10.1112/jlms/jdp005zbMath1181.16025arXiv0801.3383OpenAlexW2051937571MaRDI QIDQ3630822

Roland Berger

Publication date: 4 June 2009

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3383

zbMATH Keywords

graded algebrasKoszul algebrasPBW-deformationsgraded Calabi-Yau algebras

Mathematics Subject Classification ID

Deformations of associative rings (16S80) Graded rings and modules (associative rings and algebras) (16W50) Quadratic and Koszul algebras (16S37)

Related Items (19)

Koszul calculus for \(N\)-homogeneous algebras ⋮ Nakayama automorphisms of PBW deformations and Hopf actions. ⋮ Deformations of Koszul Artin-Schelter Gorenstein algebras. ⋮ On quantum groups associated to non-Noetherian regular algebras of dimension 2 ⋮ Cocommutative Calabi-Yau Hopf algebras and deformations. ⋮ \(d\)-Koszul algebras, 2-\(d\)-determined algebras and 2-\(d\)-Koszul algebras. ⋮ Poincaré-Birkhoff-Witt deformation of Koszul Calabi-Yau algebras. ⋮ Homogeneous algebras via homogeneous triples ⋮ PBW deformations of quadratic monomial algebras ⋮ Nakayama automorphisms and modular derivations in filtered deformations ⋮ KOSZUL CALCULUS ⋮ Graded 3-Calabi-Yau algebras as Ore extensions of 2-Calabi-Yau algebras ⋮ Skew Calabi-Yau property of normal extensions ⋮ Derivations of a parametric family of subalgebras of the Weyl algebra. ⋮ Calabi-Yau algebras viewed as deformations of Poisson algebras. ⋮ Twisted Calabi-Yau property of Ore extensions. ⋮ Deformations of Quadratic Algebras with Antisymmetric Relations ⋮ Projective resolutions of associative algebras and ambiguities. ⋮ Homogeneous triples for homogeneous algebras with two relations

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