2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71749In the present paper we study noncommutative double Bruhat cells. Our main results are explicit positive matrix factorizations in the cells via quasiminors of matrices with noncommutative coefficents.few corrections, some results addedQuantum AlgebraRepresentation Theory14A22text