Convex cones and SAGBI bases of permutation invariants

Details Convex cones and SAGBI bases of permutation invariants Convex cones and SAGBI bases of permutation invariants

2006-07-17

arxiv.org/abs/math/0607380v1

Invariant theory in all characteristics, volume 35 of CRM Proc. Lecture Notes, pages 259-263, Amer. Math. Soc., Providence, RI

Mathematics

Commutative Algebra

4 pages

Scientific paper

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.

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