19 citations · 21 across the 3 of their papers we have counts for
4 papers
Algebraic invariants of graphs; a study based on computer exploration
Nicolas M. Thiéry
We consider the ring I_n of polynomial invariants over weighted graphs on n vertices. Our primary interest is the use of this ring to define and explore algebraic versions of isomo…
Hecke group algebras as quotients of affine Hecke algebras at level 0
Florent Hivert, Anne Schilling, Nicolas M. Thiéry
The Hecke group algebra of a finite Coxeter group , as introduced by the first and last author, is obtained from by gluing appropriately its 0-Hecke algebra and i…
Convex cones and SAGBI bases of permutation invariants
Nicolas M. Thiéry, Stéphan Thomassé
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 h…
Some relational structures with polynomial growth and their associated algebras
Maurice Pouzet, Nicolas M. Thiéry
The profile of a relational structure R is the function phi_R which counts for every integer n the number, possibly infinite, phi_R(n) of substructures of R induced on the n-elemen…