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On the Representation Theory of Solvable Lie Algebras Ii: The Abelian Group Attached to a Prime Ideal
Author(s) -
Brown Kenneth A.
Publication year - 1991
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-43.1.49
Subject(s) - mathematics , combinatorics , discrete mathematics , ideal (ethics) , quotient , pure mathematics , algebra over a field , philosophy , epistemology
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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