The Adams Operations and Representations
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).
KeywordsVector Bundle Line Bundle Topological Group Compact Group Weyl Group
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