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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2006 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146428 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-146428 |
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Campoamor-Stursberg, R. 2019-02-09T16:51:20Z 2019-02-09T16:51:20Z 2006 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 https://nasplib.isofts.kiev.ua/handle/123456789/146428 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). The author wishes to express his gratitude to J. Lˆohmus for drawing his attention to reference and useful comments, and to the referee for multiple suggestions that helped to improve the manuscript. This work was supported by the research grant PR1/05-13283 of the UCM. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras |
| spellingShingle |
Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras Campoamor-Stursberg, R. |
| 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 |
| author |
Campoamor-Stursberg, R. |
| author_facet |
Campoamor-Stursberg, R. |
| publishDate |
2006 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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).
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT campoamorstursbergr applicationofthegelfandmatrixmethodtothemissinglabelprobleminclassicalkinematicalliealgebras |
| first_indexed |
2025-11-30T23:10:45Z |
| last_indexed |
2025-11-30T23:10:45Z |
| _version_ |
1850858762632429568 |