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This volume contains the proceedings of the Seventh Workshop in Lie Theory and Its Applications, which was held November 27-December 1, 2009 at the Universidad Nacional de Cordoba, in Cordoba, Argentina. The workshop was preceded by a special event, "Encuentro de teoria de Lie", held November 23-26, 2009, in honour of the sixtieth birthday of Jorge A. Vargas, who greatly contributed to the development of Lie theory in Cordoba. This volume focuses on representation theory, harmonic analysis in Lie groups, and mathematical physics related to Lie theory. The papers give a broad overview of these subjects and also of the recent developments of the authors' research.