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On the Nonrationality of Rigid Lie Algebras

J. M. Ancochea Bermudez and M. Goze
Proceedings of the American Mathematical Society
Vol. 127, No. 9 (Sep., 1999), pp. 2611-2618
Stable URL: http://www.jstor.org/stable/119560
Page Count: 8
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
On the Nonrationality of Rigid Lie Algebras
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Abstract

In his thesis, Carles made the following conjecture: Every rigid Lie algebra is defined on the field Q. This was quite an interesting question because a positive answer would give a nice explanation of the fact that simple Lie algebras are defined over Q. The goal of this note is to provide a large number of examples of rigid but nonrational and nonreal Lie algebras.

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