Adams operations on the Green ring of a cyclic group of prime-power order

Details Adams operations on the Green ring of a cyclic group of prime-power order Adams operations on the Green ring of a cyclic group of prime-power order

2009-12-08

arxiv.org/abs/0912.1524v1

Mathematics

Representation Theory

23 pages

Scientific paper

We consider the Green ring $R_{KC}$ for a cyclic $p$-group $C$ over a field
$K$ of prime characteristic $p$ and determine the Adams operations $\psi^n$ in
the case where $n$ is not divisible by $p$. This gives information on the
decomposition into indecomposables of exterior powers and symmetric powers of
$KC$-modules.

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