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Communication Dans Un Congrès Année : 2004

Convex cones and SAGBI bases of permutation invariants

Résumé

Let G be a permutation group acting on {1,...,n}, and < be any admissible term order on the polynomial ring K[x_1,...,x_n]. We prove that the invariant ring K[x_1,...,x_n]^G of G has a finite SAGBI basis if, and only if, G is generated by reflections.

Dates et versions

hal-00632279 , version 1 (13-10-2011)

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Nicolas M. Thiéry, Stéphan Thomassé. Convex cones and SAGBI bases of permutation invariants. Invariant theory in all characteristics, Apr 2002, Kingston, Ontario, Canada. pp.259--263. ⟨hal-00632279⟩

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