Good Ideals in the Group Algebra of a Nilpotent Lie Group.

Jean Ludwig

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On Primary Ideals in the Group Algebra of a Nilpotent Lie Group.

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Minimal ideals of group algebras

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We first study the behavior of weights on a simply connected nilpotent Lie group G. Then for a subalgebra A of L¹(G) containing the Schwartz algebra 𝓢(G) as a dense subspace, we characterize all closed two-sided ideals of A whose hull reduces to one point which is a character.

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In what follows we shall describe, in terms of some commutation properties, a method which gives nilpotent elements. Using this method we shall describe the irreducibility for Lie algebras which have Levi-Malçev decomposition property.