论文信息 - Unstable K-cohomology algebra is filtered λ-ring

Unstable K-cohomology algebra is filtered λ-ring

Boardman, Johnson, and Wilson (1995) gave a precise formulation for an unstable algebra over a generalized cohomology theory. Modifying their definition slightly in the case of complex K -theory by taking into account its periodicity, we prove that an unstable algebra for complex K -theory is precisely a filtered λ -ring, and vice versa.

Donald Yau

[1] H. Toda. A survey of homotopy theory , 1973 .

[2] Donald C. Knutson,et al. Lambda-Rings and the Representation Theory of the Symmetric Group , 1973 .

[3] M. Atiyah,et al. Group representations, λ-rings and the J-homomorphism , 1969 .

[4] M. Atiyah. Characters and cohomology of finite groups , 1961 .

[5] J. M. Boardman,et al. Stable Operations in Generalized Cohomology , 1995 .

[6] W. Fulton,et al. Riemann-Roch Algebra , 1985 .