2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73603We compute the cohomology with trivial coefficients of two graded infinite-dimensional Lie algebras of maximal class, give explicit formulas for their representative cocycles. Also we discuss the relations with combinatorics and representation theory.Representation TheoryRings and Algebras17B56; 17B70; 17B65text