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Réalisation topologique de certaines algèbres associées aux algèbres de Dickson

Topological realisation of certain algebras associated to the Dickson algebras

Part of the Lecture Notes in Mathematics book series (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.

Keywords

  • Polynomial Algebra
  • Topological Realisation
  • Operation Cohomologiques
  • Steenrod Algebra
  • Dickson Algebra

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Réferences bibliographiques

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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

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