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We derive a spin-orbital model for insulating LaMnO_3 which fulfills theSU(2) symmetry of S=2 spins at Mn^{3+} ions. It includes the complete e_g andt_{2g} superexchange which follows from a realistic Mn^{2+} multiplet structurein cubic site symmetry, and the Jahn-Teller induced orbital interactions. Weshow that the magnetic ordering observed in LaMnO_3 is stabilized by a purelyelectronic mechanism due to the e_g-superexchange alone, and provide for thefirst time a quantitative explanation of the observed transition temperatureand the anisotropic exchange interactions.Comment: 4 pages, ReVTeX, 4 figure

Electronic origin of magnetic and orbital ordering in insulating LaMnO3