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http://hdl.handle.net/1942/9287
Title: | Computing invariants and semi-invariants by means of Frobenius Lie algebras | Authors: | OOMS, Alfons | Issue Date: | 2009 | Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | Source: | JOURNAL OF ALGEBRA, 321(4). p. 1293-1312 | Abstract: | Let U(g) be the enveloping algebra of a finite-dimensional Lie algebra g over a field k of characteristic zero, Z(U(g)) its center and Sz(U(g)) its semi-center. A sufficient condition is given in order for Sz(U(g)) to be a polynomial algebra over k. Surprisingly, this condition holds for many Lie algebras, especially among those for which the radical is nilpotent, in which case Sz(U(g)) = Z(U(g)). In particular, it allows the explicit description of Z(U(g)) for more than half of all complex, indecomposable nilpotent Lie algebras of dimension at most 7. (C) 2008 Elsevier Inc. All rights reserved. | Notes: | Hasselt Univ, Dept Math, B-3590 Diepenbeek, Belgium. | Keywords: | Universal enveloping algebras; Lie algebras; Semi-invariants | Document URI: | http://hdl.handle.net/1942/9287 | ISSN: | 0021-8693 | e-ISSN: | 1090-266X | DOI: | 10.1016/j.jalgebra.2008.10.026 | ISI #: | 000263333400011 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2010 |
Appears in Collections: | Research publications |
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ComputingInvariants1.pdf | Non Peer-reviewed author version | 286.18 kB | Adobe PDF | View/Open |
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