Chapter of Book
Contractions of certain Lie algebras
Author/s | Escobar Rica, José María
Núñez Valdés, Juan Pérez Fernández, Pedro |
Editor | Carriazo Rubio, Alfonso
Fuente Benito, Daniel de la Márquez García, María del Carmen Romero Sarabia, Alfonso |
Department | Universidad de Sevilla. Departamento de Geometría y Topología Universidad de Sevilla. Departamento de Física Aplicada III |
Publication Date | 2015 |
Deposit Date | 2018-05-03 |
Published in |
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ISBN/ISSN | 9788417293093 |
Abstract | This communication is focused on the study of contractions of certain types of Lie algebras of low dimension, in order to address the implementation of the results to certain physical concepts, such as the boundary process ... This communication is focused on the study of contractions of certain types of Lie algebras of low dimension, in order to address the implementation of the results to certain physical concepts, such as the boundary process by which quantum mechanics contracts to classical mechanics. To do this, we consider in the first place the contractions of filiform Lie algebras, which were introduced by M. Vergné in 1966, by using the psi and phi invariant functions, introduced in 2008 by Hrivnák and Novotny. These functions are also dealt with other types of algebra, as Heisenberg algebras among others, and we study the existing contractions between these algebras. |
Project ID. | MTM2013-40455-P
FQM-326 FIS2011-28738-C02-01 FIS2014-53448-C2-1-P FQM160 |
Citation | Escobar Rica, J.M., Núñez Valdés, J., y Pérez Fernández, P. (2015). Contractions of certain Lie algebras. En A. Carriazo Rubio, D.d.l. Fuente Benito, M.d.C. Márquez García, A. Romero Sarabia (Ed.), XI Encuentro Andaluz de Geometría (pp. 53-58). Granada: Godel |
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