2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184457This letter establishes a procedure which can determine an algebra of exotic particles obeying fractional statistics and living in two-dimensional space using a non-commuting coordinates.v3; 7 pages, textual modifications and title changed, v4; some expressions correctedHigh Energy Physics - TheoryNew Construction of Exotic Particles Algebra and Noncommutative Geometrytext