Let KO(X) be the real and KSP(X) be the quaternionic K-theory of a finite CW-complex X . The tensor product and the exterior powers of vector bundles induce on
L(X) = KO(X) ⊕ KSP(X) the structure of Z₂ -graded λ-ring.
In this thesis it is shown, that the Adams operations
Ѱk : L(X) → L(X) , k = l, 2, 3,...,
which are associated to this λ-ring, are ring homomorphisms and satisfy the composition law
Ѱk ₀ Ѱℓ = Ѱℓk = Ѱℓ ₀ Ѱk , k, ℓ = 1, 2, 3,...
Finally, the ring L(X) together with its Ѱ-operations is explicitely determined for the quaternionic and complex projective spaces. / Science, Faculty of / Mathematics, Department of / Graduate
| Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/32701 |
| Date | January 1973 |
| Creators | Allard, Jacques |
| Publisher | University of British Columbia |
| Source Sets | University of British Columbia |
| Language | English |
| Detected Language | English |
| Type | Text, Thesis/Dissertation |
| Rights | For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. |
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