J. Guilhot

activity

20072026

most citedA proof of Lusztig's conjectures for affine type

G_{2}

with arbitrary parameters

6 citations · 6 across the 17 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.CO2023

Homology rings of affine grassmannians and positively multiplicative graphs

Jérémie Guilhot, Cédric Lecouvey, Pierre Tarrago

Let $g$ be an untwisted affine Lie algebra with associated Weyl group $W_{a}$ . To any level 0 weight $γ$ we associate a weighted graph $Γ_{γ}$ that encodes the orbit of $γ$ …

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 $A$ embeds in a matrix algebra admitting a basis $B$ with nonnegative structure constants in…

math.CO2021

Generalised Howe dualityand injectivity of induction: the symplectic case

Thomas Gerber, Jeremie Guilhot, Cédric Lecouvey

We study the symplectic Howe duality using two new and independent combinatorial methods: via determinantal formulae on the one hand, and via (bi)crystals on the other hand. The fi…