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On the nonrationality of rigid Lie algebras

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Ancochea Bermúdez, José María and Goze, Michel (1999) On the nonrationality of rigid Lie algebras. Proceedings of the American Mathematical Society, 127 (9). pp. 2611-2618. ISSN 1088-6826

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Official URL: http://www.ams.org/journals/proc/1999-127-09/S0002-9939-99-04824-8/S0002-9939-99-04824-8.pdf



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.


Item Type:Article
Subjects:Sciences > Mathematics > Algebra
ID Code:20951
Deposited On:19 Apr 2013 17:41
Last Modified:12 Dec 2018 15:13

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