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).
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© 1994 Springer Science+Business Media New York
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Husemoller, D. (1994). The Adams Operations and Representations. In: Fibre Bundles. Graduate Texts in Mathematics, vol 20. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2261-1_13
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DOI: https://doi.org/10.1007/978-1-4757-2261-1_13
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-2263-5
Online ISBN: 978-1-4757-2261-1
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