By Carolyn S. Gordon, Juan Tirao, Jorge A. Vargas, Joseph A. Wolf

This quantity is an outgrowth of the 6th Workshop on Lie concept and Geometry, held within the province of Cordoba, Argentina in November 2007. The illustration conception and constitution thought of Lie teams play a pervasive function all through arithmetic and physics. Lie teams are tightly intertwined with geometry and every stimulates advancements within the different. the purpose of this quantity is to deliver to a bigger viewers the together priceless interplay among Lie theorists and geometers that lively the workshop. famous topics of the illustration theoretic articles are Gelfand pairs and the illustration conception of actual reductive Lie teams. one of the extra geometric articles are an exposition of significant fresh advancements on noncompact homogeneous Einstein manifolds and features of inverse spectral geometry awarded in settings available to readers new to the realm.

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