A Priddy-type Koszulness criterion for non-locally finite algebras
Volume 109 / 2007
Colloquium Mathematicum 109 (2007), 179-192
MSC: 16S37, 18G15, 55S10.
DOI: 10.4064/cm109-2-2
Abstract
A celebrated result by S. Priddy states the Koszulness of any locally finite homogeneous PBW-algebra, i.e. a homogeneous graded algebra having a Poincaré–Birkhoff–Witt basis. We find sufficient conditions for a non-locally finite homogeneous PBW-algebra to be Koszul, which allows us to completely determine the cohomology of the universal Steenrod algebra at any prime.
