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Topological groups. Lie groups --- Ordered algebraic structures --- Kac-Moody algebras. --- Invariant measures. --- Unitary groups. --- Kac-Moody, Algèbres de --- Mesures invariantes --- Groupes unitaires --- Invariant measures --- Kac-Moody algebras --- Unitary groups --- 512.81 --- 517.518.1 --- Group theory --- Algebras, Kac-Moody --- Lie algebras --- Measures, Invariant --- Measure theory --- Lie groups --- Measure. Integration. Differentiation --- 517.518.1 Measure. Integration. Differentiation --- 512.81 Lie groups --- Kac-Moody, Algèbres de --- Kac-Moody, Algèbres de. --- Mesures invariantes. --- Groupes unitaires.