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Identities on solutions of the wave equation in the enveloping algebra of the conformal group. (English. Russian original) Zbl 0705.35079
Theor. Math. Phys. 83, No. 1, 347-353 (1990); translation from Teor. Mat. Fiz. 83, No. 1, 14-22 (1990).
Authors’ summary: The enveloping algebra of the conformal group of Minkowski space is interpreted as algebra of differential operators of wave equation symmetries. It is shown that this algebra is graded. With the help of grading the structure of the enveloping algebra and its ideals is investigated. The ideal represents identities of the enveloping algebra elements on the wave equation solutions. All the identities which consist of the second order operators are found.
Reviewer: I.Badea

MSC:
35L05 Wave equation
16S30 Universal enveloping algebras of Lie algebras
Keywords:
symmetries
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