6533b834fe1ef96bd129d766

RESEARCH PRODUCT

Erratum to “Separation of representations with quadratic overgroups” [Bull. Sci. Math. 135 (2) (2011) 141–165]

Didier ArnalAmel ZerganeAmel ZerganeMohamed Selmi

subject

AlgebraNilpotent Lie algebraMathematics(all)Quadratic equationGeneral MathematicsSeparation (statistics)MistakeMathematics

description

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 g 6 , 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 g 6 , 20 does not admit any natural quadratic overgroup.

https://doi.org/10.1016/j.bulsci.2011.11.001