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Réalisation topologique de certaines algèbres associées aux algèbres de Dickson

Topological realisation of certain algebras associated to the Dickson algebras

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Algebraic Topology Homotopy and Group Cohomology

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1509))

Abstract

We discuss the topological realisation of certain Z/2-algebras A(n) over the mod 2 Steenrod algebra A(2). If an associative H-space X(n) satisfies H*(X(n); Z/2)≅A(n), the mod 2 cohomology of its classifying space is isomorphic to the algebra of invariants of the canonical Gln(Z/2)-action on a graded polynomial algebra in n variables of degree 1.

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Author information

Authors and Affiliations

  1. Institut de Mathématiques et d'Informatique, Université de Neuchâtel, Chantemerle 20, CH-2000, Neuchâtel, Switzerland

    Alain Jeanneret & Ulrich Suter

Authors
  1. Alain Jeanneret
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  2. Ulrich Suter
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Editor information

Jaume Aguadé Manuel Castellet Frederick Ronald Cohen

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© 1992 Springer-Verlag

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Jeanneret, A., Suter, U. (1992). Réalisation topologique de certaines algèbres associées aux algèbres de Dickson. In: Aguadé, J., Castellet, M., Cohen, F.R. (eds) Algebraic Topology Homotopy and Group Cohomology. Lecture Notes in Mathematics, vol 1509. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087513

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  • DOI: https://doi.org/10.1007/BFb0087513

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55195-9

  • Online ISBN: 978-3-540-46772-4

  • eBook Packages: Springer Book Archive

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