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Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2
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Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras
Інший ID:
2000 Mathematics Subject Classification: 17B05; 81R05
Посилання:
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.
Підтримка:
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.
Дата:
2006
Переглядів:
552
Завантажень:
235
Анотація:
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).
