Kostant’s problem, Goldie rank and the Gelfand-Kirillov conjecture. (English) Zbl 0446.17006


17B35 Universal enveloping (super)algebras
17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
22E47 Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.)
16P50 Localization and associative Noetherian rings
16D60 Simple and semisimple modules, primitive rings and ideals in associative algebras
16Dxx Modules, bimodules and ideals in associative algebras
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