A survey of known results on the homological properties of noetherian Hopf algebras, with the central question remaining open after 30 years.
Bøgvad,Some elementary results on the cohomology of graded Lie algebras, Algebraic homotopy and local algebra (Luminy, 1982), Ast´ erisque, 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.