Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras
We briefly review a matrix based method to compute the Casimir operators of Lie algebras, mainly certain type of contractions of simple Lie algebras. The versatility of the method is illustrated by constructing matrices whose characteristic polynomials provide the invariants of the kinematical algeb...
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| Дата: | 2006 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2006
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146428 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras / R. Campoamor-Stursberg // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 17 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1464282019-02-10T01:24:21Z Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras Campoamor-Stursberg, R. We briefly review a matrix based method to compute the Casimir operators of Lie algebras, mainly certain type of contractions of simple Lie algebras. The versatility of the method is illustrated by constructing matrices whose characteristic polynomials provide the invariants of the kinematical algebras in (3+1)-dimensions. Moreover it is shown, also for kinematical algebras, how some reductions on these matrices are useful for determining the missing operators in the missing label problem (MLP). 2006 Article Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras / R. Campoamor-Stursberg // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 17 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 17B05; 81R05 http://dspace.nbuv.gov.ua/handle/123456789/146428 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We briefly review a matrix based method to compute the Casimir operators of Lie algebras, mainly certain type of contractions of simple Lie algebras. The versatility of the method is illustrated by constructing matrices whose characteristic polynomials provide the invariants of the kinematical algebras in (3+1)-dimensions. Moreover it is shown, also for kinematical algebras, how some reductions on these matrices are useful for determining the missing operators in the missing label problem (MLP). |
| format |
Article |
| author |
Campoamor-Stursberg, R. |
| spellingShingle |
Campoamor-Stursberg, R. Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Campoamor-Stursberg, R. |
| author_sort |
Campoamor-Stursberg, R. |
| title |
Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras |
| title_short |
Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras |
| title_full |
Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras |
| title_fullStr |
Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras |
| title_full_unstemmed |
Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras |
| title_sort |
application of the gel'fand matrix method to the missing label problem in classical kinematical lie algebras |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146428 |
| citation_txt |
Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras / R. Campoamor-Stursberg // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 17 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT campoamorstursbergr applicationofthegelfandmatrixmethodtothemissinglabelprobleminclassicalkinematicalliealgebras |
| first_indexed |
2023-05-20T17:24:22Z |
| last_indexed |
2023-05-20T17:24:22Z |
| _version_ |
1796153218093285376 |