Poincaré-Birkhoff-Witt deformation of Koszul Calabi-Yau algebras.
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Publication:1950432
DOI10.1007/s10468-011-9312-4zbMath1268.16030OpenAlexW2039440687MaRDI QIDQ1950432
Publication date: 13 May 2013
Published in: Algebras and Representation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10468-011-9312-4
universal enveloping algebrasKoszul algebrasCalabi-Yau algebrasPBW-deformationscentral regular extensions
Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Universal enveloping (super)algebras (17B35) Deformations of associative rings (16S80) Quadratic and Koszul algebras (16S37)
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Nakayama automorphisms of PBW deformations and Hopf actions. ⋮ Superpotentials, Calabi-Yau algebras, and PBW deformations. ⋮ Returning arrows for self-injective algebras and Artin-Schelter regular algebras. ⋮ Homogenized skew PBW extensions ⋮ PBW deformations of quadratic monomial algebras ⋮ Nakayama automorphisms and modular derivations in filtered deformations ⋮ Twisted Calabi-Yau property of Ore extensions.
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