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 in [1]. In this paper we show that Q is Koszul. It follows by [7] that its cohomology, being purely diagonal, is isomorphic to a completion of Q itself with respect to a suitable chain of two-sided ideals.
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Brunetti, M., Ciampella, A. & Lomonaco, L. The Cohomology of the Universal Steenrod Algebra. manuscripta math. 118, 271–282 (2005). https://doi.org/10.1007/s00229-005-0569-y
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DOI: https://doi.org/10.1007/s00229-005-0569-y