Realizations of Lie algebras
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Two main approaches to the construction of realizations are discussed. The practical calculation algorithm, based on the method of I. Shorokov is proposed. A new realization of the Poincaré algebra p(1, 3) is presented as an example.
KeywordsVector Field Nucleus Letter Algebraic Method Lorentz Algebra Invariant Wave
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- 3.A. A. Magazev, V. V. Mikheyev, and I. V. Shirokov, Evaluation of Composition Function Along with Invariant Vector Fields on Lie Group Using Structural Constants of Corresponding Lie Algebra, arXiv:1312.0362.2013.Google Scholar