2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52652A method developed by Polychronakos to study singular gauge transformations in 1+2 dimensional non-commutative Chern-Simons gauge theory is generalized from U(1) group to U(2) group. The method clarifies the singular behavior of topologically non-trivial gauge transformations in non-commutative gauge theory, which appears when the gauge transformations are viewed from the commutative gauge theory equivalent to the commutative theory.12 pages, 4 figuresHigh Energy Physics - Theorytext