Convex cones and SAGBI bases of permutation invariants
Nicolas M. Thiéry, Stéphan Thomassé
Abstract
Let G be a permutation group acting on 1,...,n, and < be any admissible term order on the polynomial ring K[x1,...,xn]. We prove that the invariant ring K[x1,...,xn]G of G has a finite SAGBI basis if, and only if, G is generated by reflections.
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