TY - JOUR AU - Plaza Martín, Francisco José AU - Tejero Prieto, Tomás Carlos PY - 2022 SN - 1578-7303 UR - http://hdl.handle.net/10366/159334 AB - [EN] The classification problem for simple sl(2)-modules leads in a natural way to the study of the category of finite rank torsion free sl(2)-modules and its subcategory of rational sl(2) modules. We prove that the rationalization functor induces... LA - eng PB - Springer KW - Torsion free sl(2)-modules KW - Rational sl(2)-modules KW - Grothendieck group Picard group TI - The Grothendieck and Picard groups of finite rank torsion free $$\mathfrak {sl}(2)$$-modules DO - 10.1007/s13398-022-01224-6 T2 - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas VL - 116 ER -