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Fibre Bundles pp 171-188 | Cite as

The Adams Operations and Representations

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

Abstract

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 α given a 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).

Keywords

Vector Bundle Line Bundle Topological Group Compact 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

© Springer Science+Business Media New York 1994

Authors and Affiliations

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

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