Fibre Bundles pp 159-175 | Cite as

The Adams Operations and Representations

  • Dale Husemoller
Part of the Graduate Texts in Mathematics book series (GTM, volume 20)


Every representation M of a topological group G and every principal bundle α over a space X determine a fibre bundle α[M] over X that admits the structure of a vector bundle. For a given α the function that assigns α[M] to M prolongs to a group morphism R(G) → K(X), where R(G) is the representation ring of G. We study K(X), using this morphism; in particular, properties of operations in K(X) can be derived from properties of operations in R(G).


Vector Bundle Line Bundle Fibre Bundle Topological Group Weyl Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Dale Hausemoller 1966

Authors and Affiliations

  • Dale Husemoller
    • 1
  1. 1.Department of MathematicsHaverford CollegeHaverfordUSA

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