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Journal of Lie Theory 22 (2012), No. 3, 845--867 Copyright Heldermann Verlag 2012 On the Cortex of a Class of Exponential Lie Algebras Béchir Dali King Saud University, College of Science, Dept. of Mathematics, P. O. Box 2455, Riyadh 11451, Saudi Arabia and: Université de Carthage, Faculté des Sciences, Dép. de Mathématiques, 7021 Zarzouna - Bizerte, Tunisia bechir.dali@yahoo.fr We give a complete and explicit description of the cortex of a class of exponential Lie algebras. Keywords: General properties and structure of real Lie groups, nilpotent and solvable Lie groups, unitary representations of Lie groups. MSC: 22E25, 22E15, 22D10 [Fulltext-pdf (337 KB)] for subscribers only. |