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http://hdl.handle.net/1942/1346
Title: | The Gelfand-Kirillov conjecture for semi-direct products of Lie algebras | Authors: | OOMS, Alfons | Issue Date: | 2006 | Publisher: | Elsevier | Source: | JOURNAL OF ALGEBRA, 305(2). p. 901-911 | Abstract: | Let g be an n-dimensional Lie algebra over a field k of characteristic zero and let W be a g-module of dimension at least n. Sufficient conditions are given in order for the semi-direct product g + W to satisfy the Gelfand-Kirillov conjecture. This implies that this conjecture holds for an important class of Frobenius Lie algebras. Special attention is devoted to the case where g = sl(2,k). | Document URI: | http://hdl.handle.net/1942/1346 | DOI: | 10.1016/j.jalgebra.2006.03.009 | ISI #: | 000245638800015 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2008 |
Appears in Collections: | Research publications |
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TheGelfandKirillovConjecture._2.pdf | Published version | 155.4 kB | Adobe PDF | View/Open |
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