Journal
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 137, Issue 3, Pages 835-844Publisher
AMER MATHEMATICAL SOC
Keywords
SAGBI basis; subduction algorithm; Gobel's conjecture; group action; algebra of invariants; reflection group; abelian semigroup
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Funding
- NSERC Canada Graduate Scholarship
- NSERC Discovery and Accelerator Supplement
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Let k be a field, let L-n = k[x(1)(+/- 1), . . . , x(n)(+/- 1)] be the Laurent polynomial ring in n variables and let G be a finite group of k-algebra automorphisms of Ln. We give a necessary and sufficient condition for the ring of invariants L-n(G) to have a SAGBI basis. We show that if this condition is satisfied, then L-n(G) has a SAGBI basis relative to any choice of coordinates in Ln and any term order.
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