|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
25 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
General properties of the expansion methods of Lie algebras | | Laura Andrianopoli
; Nelson Merino
; Felip Nadal
; Mario Trigiante
; | | Date: |
22 Aug 2013 | | Abstract: | The study of the relation between Lie algebras and groups, and especially the
derivation of new algebras from them, is a problem of great interest in
mathematics and physics, because finding a new Lie group from an already known
one also means that a new physical theory can be obtained from a known one. One
of the procedures that allow to do so is called expansion of Lie algebras, and
has been recently used in different physical applications - particularly in
gauge theories of gravity. Here we report on further developments of this
method, required to understand in a deeper way their consequences in physical
theories. We have found theorems related to the preservation of some properties
of the algebras under expansions that can be used as criteria and, more
specifically, as necessary conditions to know if two arbitrary Lie algebras can
be related by the some expansion mechanism. Formal aspects, such as the Cartan
decomposition of the expanded algebras, are also discussed. Finally, an
instructive example that allows to check explicitly all our theoretical results
is also provided. | | Source: | arXiv, 1308.4832 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER