On quantum groups associated to non-Noetherian regular algebras of dimension 2

DOI10.1007/s00209-016-1666-1zbMath1388.16032arXiv1503.09185OpenAlexW2963158695MaRDI QIDQ330006

Chelsea Walton, Xingting Wang

Publication date: 24 October 2016

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.09185

zbMATH Keywords

Artin-Schelter regularhomological codeterminantskew Calabi-Yauuniversal coacting quantum group

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Ring-theoretic aspects of quantum groups (16T20) Hopf algebras and their applications (16T05)

Related Items (12)

Algebraic properties of face algebras ⋮ The Nakayama automorphism of a class of graded algebras ⋮ Invariant theory of Artin-Schelter regular algebras: a survey ⋮ Hopf–Galois objects of Calabi–Yau Hopf algebras ⋮ The Manin Hopf algebra of a Koszul Artin-Schelter regular algebra is quasi-hereditary ⋮ Calabi-Yau property under monoidal Morita-Takeuchi equivalence ⋮ Non-existence of genuine (compact) quantum symmetries of compact, connected smooth manifolds ⋮ Universal quantum semigroupoids ⋮ Quantum Symmetry of Classical Spaces ⋮ Non-existence of faithful isometric action of compact quantum groups on compact, connected Riemannian manifolds ⋮ Hopf dense Galois extensions with applications ⋮ Gelfand-Kirillov dimension of cosemisimple Hopf algebras

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