The mod 2 universal Steenrod algebra Q is a homogeneous quadratic algebra closely related to the ordinary mod 2 Steenrod algebra and the Lambda algebra introduced by Bousfield et alii. In this paper we show that Q is Koszul. It follows by a paper by the third author that its cohomology, being purely diagonal, is isomorphic to a completion of Q itself with respect to a suitable chain of two-sided ideals
The cohomology of the universal Steenrod algebra / Brunetti, Maurizio; Ciampella, Adriana; Lomonaco, L. A.. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - STAMPA. - 118:no. 3(2005), pp. 271-282.
The cohomology of the universal Steenrod algebra.
BRUNETTI, MAURIZIO
;CIAMPELLA, ADRIANA;LOMONACO L. A.
2005
Abstract
The mod 2 universal Steenrod algebra Q is a homogeneous quadratic algebra closely related to the ordinary mod 2 Steenrod algebra and the Lambda algebra introduced by Bousfield et alii. In this paper we show that Q is Koszul. It follows by a paper by the third author that its cohomology, being purely diagonal, is isomorphic to a completion of Q itself with respect to a suitable chain of two-sided idealsFile in questo prodotto:
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