Decomposing symmetric powers of certain modular representations of cyclic groups

Details Decomposing symmetric powers of certain modular representations of cyclic groups Decomposing symmetric powers of certain modular representations of cyclic groups

2005-09-02

arxiv.org/abs/math/0509044v2

Mathematics

Commutative Algebra

The revised version of the paper includes a calculation of the Noether number of the p+1 dimensional modular indecomposable re

Scientific paper

For a prime number p, we construct a generating set for the ring of invariants for the p+1 dimensional indecomposable modular representation of a cyclic group of order p^2. We then use the constructed invariants to describe the decomposition of the symmetric algebra as a module over the group ring, confirming the Periodicity Conjecture of Ian Hughes and Gregor Kemper for this case.

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