Decomposing symmetric powers of certain modular representations of cyclic groups

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dc.creatorShank, R. J.
dc.creatorWehlau, D. L.
dc.date2005-09-02
dc.date2007-05-29
dc.date.accessioned2026-07-07T08:07:16Z
dc.date.available2026-07-07T08:07:16Z
dc.descriptionFor 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.
dc.descriptionThe revised version of the paper includes a calculation of the Noether number of the p+1 dimensional modular indecomposable representation of the cyclic group of order p^2 and the Hilbert series of the corresponding ring of invariants
dc.identifierhttps://arxiv.org/abs/math/0509044
dc.identifierhttp://arxiv.org/abs/math/0509044
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130887
dc.subjectCommutative Algebra
dc.subjectRepresentation Theory
dc.subject13A50
dc.titleDecomposing symmetric powers of certain modular representations of cyclic groups
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