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Arrows, symmetries and representation rings. (English) Zbl 0448.55013


MSC:

55R40 Homology of classifying spaces and characteristic classes in algebraic topology
20C30 Representations of finite symmetric groups
55N15 Topological \(K\)-theory
Full Text: DOI

References:

[1] Adams, J. F., Stable homotopy and generalised cohomology (1974), University of Chicago Press: University of Chicago Press Chicago · Zbl 0309.55016
[2] Atiyah, M. F., Power operations in \(K\)-theory, Quarterly J. Math., 17, 2, 165-193 (1966) · Zbl 0144.44901
[3] Atiyah, M. F.; Segal, G. B., Lectures on equivariant \(K\)-theory, Mimeographed notes (1975), Oxford
[4] Burroughs, J., Operations in Grothendieck rings and the symmetric group, Canad. J. Math., 26, 543-550 (1974) · Zbl 0307.55016
[5] Dress, A., Contributions to the theory of induced representations, Springer Lecture Notes in Math., 342, 183-240 (1973) · Zbl 0331.18016
[6] Fox, R. F., A simple new method for calculating the characters of the symmetric groups, J. Combinatorial Theory, 2, 186-212 (1967) · Zbl 0153.03802
[7] Frobenius, F. G., Über die Charaktere der symmetrischen Gruppe, Sitzungsb. der Kön. Preuss. Akad. der Wiss. zu Berlin, 516-534 (1990) · JFM 31.0129.02
[8] Hirzebruch, F., Neue Topologische Methoden in der Algebraischen Geometrie (1956), Springer Verlag: Springer Verlag Berlin · Zbl 0070.16302
[9] Hoffman, P., τ-Rings, wreath products, plethysms and \(K(X) (1976)\), University of Waterloo preprint
[10] Kerber, A., On a paper of Fox about a method for calculating the ordinary irreducible characters of symmetric groups, J. Combinatorial Theory, 6, 90-93 (1969) · Zbl 0165.34202
[11] Knutson, D., λ-Rings and the Representation Theory of the Symmetric Group, Springer Lecture Notes in Math., 308 (1973) · Zbl 0272.20008
[12] Liulevicius, A., Representation rings of the symmetric group - a Hopf algebra approach (1976), Aarhus Universitet, Matematisk Institut, preprint
[13] Mackey, G. W., On induced representations of groups, Am. J. Math., 73, 576-592 (1951) · Zbl 0045.30305
[14] MacLane, S., Categories for the working mathematician (1971), Springer Verlag: Springer Verlag Berlin · Zbl 0232.18001
[15] Maclaurin, C., A treatise of algebra (1748), London
[16] Moore, J. C., Algèbres de Hopf universelles, Séminaire H. Cartan, 12 (1959/60), \(n^o 10\) · Zbl 0117.16403
[17] Newton, I., Arithmetica Universalis, sive De Compositione et Resolutione Arithmetica Liber (1707), impensis Benj. Tooke, Cantabrigiae et Londini
[18] (Newton, I.; Whiteside, D. T., The Mathematical Papers of Isaac Newton, 8 vols. (1967-0000), Cambridge University Press: Cambridge University Press Cambridge) · Zbl 0143.24205
[19] Segal, G. B., Equivariant \(K\)-theory, Publ. Math. I.H.E.S., 34, 129-151 (1968) · Zbl 0199.26202
[20] VandeVelde, R., An algebra of symmetric functions and applications, (Ph.D. Dissertation (1967), University of Chicago)
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