A survey of known results on the homological properties of noetherian Hopf algebras, with the central question remaining open after 30 years.
Joseph,Quantum groups and their primitive ideals, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol
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Report on $AS$-Gorenstein Hopf algebras
A survey of known results on the homological properties of noetherian Hopf algebras, with the central question remaining open after 30 years.