Symmetric powers of the \(p+1\)-dimensional indecomposable module of a cyclic \(p\)-group and the \(\lambda\)-structure of its Green ring.
DOI10.1016/j.jalgebra.2012.06.013zbMath1268.20003OpenAlexW2042977386WikidataQ112881535 ScholiaQ112881535MaRDI QIDQ1945882
Publication date: 17 April 2013
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.06.013
indecomposable modulesmodular representationssymmetric powersAdams operationsGreen rings\(\lambda\)-ringscyclic \(p\)-groups
Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Frobenius induction, Burnside and representation rings (19A22)
Cites Work
- Periodicity of Adams operations on the Green ring of a finite group
- \(\lambda\)-ring structure of the Green ring of a cyclic \(p\)-group.
- Adams operations on the Green ring of a cyclic group of prime-power order
- Cohomology of modules in the principal block of a finite group
- Modular Lie representations of groups of prime order
- Decomposing Symmetric Powers of Certain Modular Representations of Cyclic Groups
- Symmetric powers of modular representations, hilbert series and degree bounds
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