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An elementary proof of the Baker-Campbell-Hausdorff-Dynkin formula. (English) Zbl 0298.22010
MSC:
22E30Analysis on real and complex Lie groups
33C80Connections of hypergeometric functions with groups and algebras
34G99ODE in abstract spaces
References:
[1]Baker, H.F.: Alternants and continuous groups. Proc. London Math. Soc., II. Ser.3, 24–47 (1905) · doi:10.1112/plms/s2-3.1.24
[2]Cartier, P.: Demonstration algébrique de la formule de Hausdorff, Bull. Soc. math. France84, 241–249 (1956)
[3]Dynkin, E.B.: On the representation of the series log(e xey) with non-commutingx andy by commutators. Mat. Sbornik, n. Ser.25, 155–162 (1949)
[4]Hochschild, G.: The structure of Lie groups. San Francisco-London-Amsterdam: Holden-Day, 1965
[5]Pejas, W.: Ein Beweis der qualitativen Aussage der Campbell-Hausdorff-Formel für analytische Gruppen. Arch. der Math.19, 453–456 (1968) · Zbl 0169.34704 · doi:10.1007/BF01898764
[6]Varadarajan, V.S.: Lie groups, Lie algebras, and their representations. Englewood Cliffs: Prentice-Hall 1974