Convex cones and SAGBI bases of permutation invariants

dc.creatorThiéry, Nicolas M.
dc.creatorThomassé, Stéphan
dc.date2006-07-17
dc.date.accessioned2026-07-07T07:18:26Z
dc.date.available2026-07-07T07:18:26Z
dc.descriptionLet 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.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/math/0607380
dc.identifierhttp://arxiv.org/abs/math/0607380
dc.identifierInvariant theory in all characteristics, volume 35 of CRM Proc. Lecture Notes, pages 259-263, Amer. Math. Soc., Providence, RI, 2004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114297
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subject13A50 (Primary) 13P10 (Secondary)
dc.titleConvex cones and SAGBI bases of permutation invariants
dc.typetext

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