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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.
David Alexander, and Jean Ludwig. "Minimal ideals of group algebras." Studia Mathematica 160.3 (2004): 205-229. <http://eudml.org/doc/285262>.
@article{DavidAlexander2004, abstract = {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.}, author = {David Alexander, Jean Ludwig}, journal = {Studia Mathematica}, keywords = {simply connected nilpotent Lie group; weight; Schwartz algebra; ideal; hull; Lie algebra; spectral synthesis; group algebra}, language = {eng}, number = {3}, pages = {205-229}, title = {Minimal ideals of group algebras}, url = {http://eudml.org/doc/285262}, volume = {160}, year = {2004}, }
TY - JOUR AU - David Alexander AU - Jean Ludwig TI - Minimal ideals of group algebras JO - Studia Mathematica PY - 2004 VL - 160 IS - 3 SP - 205 EP - 229 AB - 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. LA - eng KW - simply connected nilpotent Lie group; weight; Schwartz algebra; ideal; hull; Lie algebra; spectral synthesis; group algebra UR - http://eudml.org/doc/285262 ER -