Convex cones and SAGBI bases of permutation invariants

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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.
4 pages

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Commutative Algebra, Combinatorics, 13A50 (Primary) 13P10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/114297

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607380
 http://arxiv.org/abs/math/0607380
 Invariant theory in all characteristics, volume 35 of CRM Proc. Lecture Notes, pages 259-263, Amer. Math. Soc., Providence, RI, 2004

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arXiv