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Journal of the London Mathematical Society 1991 s2-43(1):49-60; doi:10.1112/jlms/s2-43.1.49
© 1991 by London Mathematical Society
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© Oxford University Press

On the Representation Theory of Solvable Lie Algebras Ii: The Abelian Group Attached to a Prime Ideal

Kenneth A. Brown

Mathematics Department, University of Glasgow, University Gardens Glasgow G12 8QW

In this sequel to [6], the clique and graph of links of a prime, non-primitive ideal P of the enveloping algebra U of a finite-dimensional complex solvable Lie algebra g are studied. The main result shows that the graph of links of P is a quotient of the graph of a ‘generic’ primitive ideal containing P. (The cliques and link graphs of the primitive ideals of U were analysed in [6].)


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