2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153690Using the isomorphism between highest weight U_q(sl_2)-modules and homologies of certain local systems on the configuration spaces, constructed by Varchenko, we give a geometric construction of the dual of the Lusztig's canonical basis in a tensor product of irreducible finite-dimensional U_q(sl_2)-modules.21 pages, AMSTeX; many figures, require epsf macro packageQuantum AlgebraCanonical basis and homology of local systemstext