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A SAGBI Basis For 𝔽[V2 ⊕ V2 ⊕ V3]Cp
Published online by Cambridge University Press: 20 November 2018
Abstract
Let ${{C}_{p}}$ denote the cyclic group of order $p$, where $p\,\ge \,3$ is prime. We denote by ${{V}_{n}}$ the indecomposable $n$ dimensional representation of ${{C}_{p}}$ over a field $\mathbb{F}$ of characteristic $p$. We compute a set of generators, in fact a SAGBI basis, for the ring of invariants $\mathbb{F}{{\left[ {{V}_{2}}\,\oplus \,{{V}_{2}}\,\oplus \,{{V}_{3}} \right]}^{{{C}_{p}}}}$.
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- Copyright © Canadian Mathematical Society 2009
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