Convex cones and SAGBI bases of permutation invariants
Thiéry, Nicolas M. · Thomassé, Stéphan
Original · EN
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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