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The diagonal cohomology of the universal Steenrod algebra

✍ Scribed by Luciano Lomonaco

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 425 KB
Volume: 121
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(96)00066-7

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✦ Synopsis

In this paper we compute the diagonal cohomology of the algebra Q of cohomology operations in the category of H--ring spectra, also known as the universal Steenrod algebra. Our methods involve results about Koszul algebras. It turns out that D*(Q) is isomorphic to a suitable completion of Q itself.

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