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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Chern classes of certain representations of symmetric groups


Authors: Leonard Evens and Daniel S. Kahn
Journal: Trans. Amer. Math. Soc. 245 (1978), 309-330
MSC: Primary 55R40; Secondary 20C30
DOI: https://doi.org/10.1090/S0002-9947-1978-0511412-2
MathSciNet review: 511412
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Abstract: A formula is derived for the Chern classes of the representation id $ \int {\xi :P\int {H \to {U_{pn}}} } $ where P is cyclic of order P and $ \xi :H \to {U_n}$ is a fintie dimensional unitary representation of the group H. The formula is applied to the problem of calculating the Chern classes of the ``natural'' representations $ {\pi _j}:{\mathcal{S}_j} \to {U_j}$ of symmetric groups by permutation matrices.


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DOI: https://doi.org/10.1090/S0002-9947-1978-0511412-2
Keywords: Chern classes, group, symmetric groups, wreath products, induced representation, transfer, double complex
Article copyright: © Copyright 1978 American Mathematical Society

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