W-module structure in the primitive spectrum of the enveloping algebra of a semisimple Lie algebra
作者： A. Joseph
DOI: 10.1007/BFB0063341
关键词: Symmetric algebra 、 Universal enveloping algebra 、 Primitive ideal 、 Algebra 、 Graded Lie algebra 、 Mathematics 、 Casimir element 、 Cellular algebra 、 Algebra representation 、 Filtered algebra
摘要: Formulae developed to give a positive answer Dixmier's problem for Verma and principal series submodules are used show that each primitive ideal in the enveloping algebra of semisimple Lie identifies with left group Weyl group. The possible behaviour these ideals under right multiplication leads conjecture set order relations spectrum.
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