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.
A priddy-type Koszulness criterion for non-locally finite algebras / Brunetti, Maurizio; Ciampella, Adriana. - In: COLLOQUIUM MATHEMATICUM. - ISSN 0010-1354. - STAMPA. - 109:no. 2(2007), pp. 179-192.
A priddy-type Koszulness criterion for non-locally finite algebras
BRUNETTI, MAURIZIO
;CIAMPELLA, ADRIANA
2007
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.File in questo prodotto:
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