7 citations · 15 across the 13 of their papers we have counts for
5 papers · 1 filter
Entropy of affine permutations and universality of affine atomic lengths
Nathan Chapelier-Laget, Thomas Gerber, Nicolas Jacon +1
We introduce and study the notion of entropy of affine permutations and prove that it coincides with the atomic length associated with the sum of the fundamental weights for a type…
The asymptotic Plancherel formula and Lusztig's asymptotic algebra for
Nathan Chapelier-Laget, Jérémie Guilhot, Eloise Little +1
The aim of this paper is to give a new explicit construction of Lusztig's asymptotic algebra in affine type . To do so, we construct a balanced system of cell modules,…
Elements of minimal length and Bruhat order on fixed point cosets of Coxeter groups
Nathan Chapelier-Laget, Thomas Gobet
We study the restriction of the strong Bruhat order on an arbitrary Coxeter group to cosets , where is an element of and the subgroup of fixed points o…
Atomic length on Weyl groups
Nathan Chapelier-Laget, Thomas Gerber
We define a new statistic on Weyl groups called the atomic length and investigate its combinatorial and representation-theoretic properties. In finite types, we show a number of pr…
ABHY Associahedra and Newton polytopes of -polynomials for finite type cluster algebras
Véronique Bazier-Matte, Nathan Chapelier-Laget, Guillaume Douville +3
A new construction of the associahedron was recently given by Arkani-Hamed, Bai, He, and Yan in connection with the physics of scattering amplitudes. We show that their constructio…