Bosonization of Coordinate Ring of $U_q(SL(N))$. The Cases of $N=2$ and $N=3$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/53738Non-abelian coordinate ring of $U_q(SL(N))$ (quantum deformation of the algebra of functions) for $N=2,3$ is represented in terms of conventional creation and annihilation operators. This allows to construct explicitly representations of this algebra, which were earlier described in somewhat more abstract algebraic fashion. Generalizations to $N>3$ and Kac-Moody algebras are not discussed but look straightforward.ITEP-M-7/93 (11 pages)High Energy Physics - TheoryBosonization of Coordinate Ring of $U_q(SL(N))$. The Cases of $N=2$ and $N=3$text