Rigid dualizing complexes over quantum homogeneous spaces.

DOI10.1016/j.jalgebra.2011.12.007zbMath1272.16014OpenAlexW2067829774MaRDI QIDQ441395

J. Herrera, H. S. Yoon

Publication date: 23 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.12.007

zbMATH Keywords

Hochschild cohomologyquantum homogeneous spacesNakayama automorphismAS-Gorenstein algebrasNoetherian pointed Hopf algebrasrigid dualizing complexes

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Syzygies, resolutions, complexes in associative algebras (16E05) Ring-theoretic aspects of quantum groups (16T20) Hopf algebras and their applications (16T05)

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The nodal cubic is a quantum homogeneous space, Twisted Calabi-Yau property of right coideal subalgebras of quantized enveloping algebras, Untwisting a twisted Calabi-Yau algebra., On homological smoothness of generalized Weyl algebras over polynomial algebras in two variables, A module structure on Hochschild cohomology of coideal subalgebras, Homological properties of Podleś quantum spheres., Quantum homogeneous spaces of connected Hopf algebras

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