2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166731We discuss a prescription to construct fractional branes in Landau-Ginzburg orbifolds, with particular attention to the case of non-abelian orbifolds. We analyze in detail a S_3 orbifold and a D_n orbifold and show how the computation of the spectrum can be carried out explicitly even when the factorizations involve higher rank matrices.23 pages, 2 figuresHigh Energy Physics - TheoryMatrix Factorizations For Non-Abelian Orbifoldstext