Classification des formes réelles presque compactes des algèbres de Kac–Moody affines

Résumé Real forms of affine Kac–Moody Lie algebras are either almost split or almost compact. Almost split ones have been already classified [J. Algebra 171, 43–96]. We give here a complete classification of almost compact real forms. Among other results this involves a study à la Borel–Tits of these forms.