Erratum to “Separation of representations with quadratic overgroups” [Bull. Sci. Math. 135 (2) (2011) 141–165] |
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Authors: | Didier Arnal Mohamed Selmi Amel Zergane |
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Institution: | aInstitut de Mathématiques de Bourgogne, UMR CNRS 5584, Université de Bourgogne, U.F.R. Sciences et Techniques, B.P. 47870, F-21078 Dijon Cedex, France;bDépartement de Mathématiques, Unité de Recherche Physique Mathématique, Université de Sousse, Ecole Supérieure des Sciences et de Technologie de Hammam Sousse, Rue Lamine Abassi, 4011 H. Sousse, Tunisia |
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Abstract: | In the paper entitled “Separation of representations with quadratic overgroups”, we defined the notion of quadratic overgroups, and announced that the 6-dimensional nilpotent Lie algebra g6,20 admits such a quadratic overgroup. There is a mistake in the proof. The present Erratum explains that the proposed overgroup is only weakly quadratic, and g6,20 does not admit any natural quadratic overgroup. |
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