The Onsager Algebra
In this thesis, four realizations of the Onsager algebra are explored. We begin with its original definition as introduced by Lars Onsager. We then examine how the Onsager algebra can be presented as a Lie algebra with two generators and two relations. The third realization of the Onsager algebra co...
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University of Ottawa (Canada)
2013
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| Online Access: | http://hdl.handle.net/10393/28699 http://dx.doi.org/10.20381/ruor-19393 |
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ndltd-uottawa.ca-oai-ruor.uottawa.ca-10393-286992018-01-05T19:08:07Z The Onsager Algebra EI-Chaar, Caroline Mathematics. In this thesis, four realizations of the Onsager algebra are explored. We begin with its original definition as introduced by Lars Onsager. We then examine how the Onsager algebra can be presented as a Lie algebra with two generators and two relations. The third realization of the Onsager algebra consists of viewing it as an equivariant map algebra which then gives us the tools to classify its closed ideals. Finally, we examine the Onsager algebra as a subalgebra of the tetrahedron algebra. Using this fourth realization, we explicitly describe all its ideals. 2013-11-07T19:30:56Z 2013-11-07T19:30:56Z 2010 2010 Thesis Source: Masters Abstracts International, Volume: 49-05, page: 3206. http://hdl.handle.net/10393/28699 http://dx.doi.org/10.20381/ruor-19393 en 90 p. University of Ottawa (Canada) |
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NDLTD |
| language |
en |
| format |
Others
|
| sources |
NDLTD |
| topic |
Mathematics. |
| spellingShingle |
Mathematics. EI-Chaar, Caroline The Onsager Algebra |
| description |
In this thesis, four realizations of the Onsager algebra are explored. We begin with its original definition as introduced by Lars Onsager. We then examine how the Onsager algebra can be presented as a Lie algebra with two generators and two relations. The third realization of the Onsager algebra consists of viewing it as an equivariant map algebra which then gives us the tools to classify its closed ideals. Finally, we examine the Onsager algebra as a subalgebra of the tetrahedron algebra. Using this fourth realization, we explicitly describe all its ideals. |
| author |
EI-Chaar, Caroline |
| author_facet |
EI-Chaar, Caroline |
| author_sort |
EI-Chaar, Caroline |
| title |
The Onsager Algebra |
| title_short |
The Onsager Algebra |
| title_full |
The Onsager Algebra |
| title_fullStr |
The Onsager Algebra |
| title_full_unstemmed |
The Onsager Algebra |
| title_sort |
onsager algebra |
| publisher |
University of Ottawa (Canada) |
| publishDate |
2013 |
| url |
http://hdl.handle.net/10393/28699 http://dx.doi.org/10.20381/ruor-19393 |
| work_keys_str_mv |
AT eichaarcaroline theonsageralgebra AT eichaarcaroline onsageralgebra |
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1718602723694215168 |