A. Abdesselam

activity

19972026

most citedRigorous quantum field theory functional integrals over the p-adics I: anomalous dimensions

24 citations · 44 across the 17 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.CO2023

A bijection for tuples of commuting permutations and a log-concavity conjecture

Abdelmalek Abdesselam, Pedro Brunialti, Tristan Doan +1

Let $A (ℓ, n, k)$ denote the number of $ℓ$ -tuples of commuting permutations of $n$ elements whose permutation action results in exactly $k$ orbits or connected components. We pr…

math.RT2023

Structure constants for simple Lie algebras from principal $sl_{2}$ -triple

Abdelmalek Abdesselam, Alexander Thomas

For a simple complex Lie algebra $g$ , fixing a principal $sl_{2}$ -triple and highest weight vectors induces a basis of $g$ as vector space. For $\mat…

math.CO2023

Log-concavity with respect to the number of orbits for infinite tuples of commuting permutations

Abdelmalek Abdesselam

Let $A (p, n, k)$ be the number of $p$ -tuples of commuting permutations of $n$ elements whose permutation action results in exactly $k$ orbits or connected components. We formulate th…

A bijection for tuples of commuting permutations and a log-concavity conjecture

Structure constants for simple Lie algebras from principal sl2​-triple

Log-concavity with respect to the number of orbits for infinite tuples of commuting permutations

Structure constants for simple Lie algebras from principal $sl_{2}$ -triple