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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

PDF
Restringido a Repository staff only 224kB |

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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