The Chern character for classical matrix groups

Wood, Jay

doi:10.1090/S0002-9939-98-04316-0

The Chern character for classical matrix groups
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by Jay A. Wood

Proc. Amer. Math. Soc. 126 (1998), 1237-1244

DOI: https://doi.org/10.1090/S0002-9939-98-04316-0

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Abstract:

We give explicit formulas for representations of classical matrix groups whose Chern characters have lowest order terms equal to standard characteristic classes. For $\operatorname {SO}(2r)$, the Euler class $e$ does not arise in this way, but $2^{r-1} e$ does arise in this way.

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