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...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2006 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2006
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146428 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| 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| _version_ | 1862638071731716096 |
|---|---|
| author | Campoamor-Stursberg, R. |
| author_facet | Campoamor-Stursberg, R. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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).
|
| first_indexed | 2025-11-30T23:10:45Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146428 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-30T23:10:45Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras Campoamor-Stursberg, R. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146428 |
| work_keys_str_mv | AT campoamorstursbergr applicationofthegelfandmatrixmethodtothemissinglabelprobleminclassicalkinematicalliealgebras |