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math.CO2023
Homology rings of affine grassmannians and positively multiplicative graphs
Jérémie Guilhot, Cédric Lecouvey, Pierre Tarrago
Let be an untwisted affine Lie algebra with associated Weyl group . To any level 0 weight we associate a weighted graph that encodes the orbit of …
math.CO2022
Basics on positively multiplicative graphs and algebras
Jérémie Guilhot, Cédric Lecouvey, Pierre Tarrago
An oriented graph is said positively multiplicative when its adjacency matrix embeds in a matrix algebra admitting a basis with nonnegative structure constants in…
math.CO2018
Alcove random walks, k-Schur functions and the minimal boundary of the k-bounded partition poset
Cédric Lecouvey, Pierre Tarrago
We use k-Schur functions to get the minimal boundary of the k-bounded partition poset. This permits to describe the central random walks on affine Grassmannian elements of type A a…