@article{ALCO_2022__5_4_629_0,
     author = {Foissy, Lo{\"\i}c and Menous, Fr\'ed\'eric and Novelli, Jean-Christophe and Thibon, Jean-Yves},
     title = {Quadri-algebras, {preLie} algebras, {and~the~Catalan} family of {Lie} idempotents},
     journal = {Algebraic Combinatorics},
     pages = {629--666},
     publisher = {The Combinatorics Consortium},
     volume = {5},
     number = {4},
     year = {2022},
     doi = {10.5802/alco.224},
     language = {en},
     url = {https://alco.centre-mersenne.org/articles/10.5802/alco.224/}
}