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A SAGBI Basis For 𝔽[V2 ⊕ V2 ⊕ V3]Cp

Published online by Cambridge University Press:  20 November 2018

Alexander Duncan ,
Michael LeBlanc  and
David L.Wehlau
Alexander Duncan
Affiliation:
Department of Mathematics, The University of British Columbia, Vancouver, B.C., V6T 1Z2 e-mail: duncan@math.ubc.camleblanc@math.ubc.ca
Michael LeBlanc
Affiliation:
Department of Mathematics, The University of British Columbia, Vancouver, B.C., V6T 1Z2 e-mail: duncan@math.ubc.camleblanc@math.ubc.ca
David L.Wehlau
Affiliation:
Department of Mathematics & Computer Science, Royal Military College, Kingston, Ontario, K7K 7B4 e-mail: wehlau@rmc.ca
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Abstract

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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 $\mathbb{F}{{\left[ {{V}_{2}}\,\oplus \,{{V}_{2}}\,\oplus \,{{V}_{3}} \right]}^{{{C}_{p}}}}$.

Keywords

13A50
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 52 , Issue 1 , 01 March 2009 , pp. 72 - 83
Copyright
Copyright © Canadian Mathematical Society 2009

References

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