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Gelfand-Kirilllov dimension for the annihilators of simple quotients of Verma modules. (English) Zbl 0401.17007

17B35 Universal enveloping (super)algebras
17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
16D60 Simple and semisimple modules, primitive rings and ideals in associative algebras
16P60 Chain conditions on annihilators and summands: Goldie-type conditions
16Kxx Division rings and semisimple Artin rings
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