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Teoreticheskaya i Matematicheskaya Fizika, 1990, Volume 83, Number 1, Pages 14–22
(Mi tmf5745)
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This article is cited in 10 scientific papers (total in 10 papers)
Identities on solutions of the wave equation in the enveloping algebra of the conformal group
V. G. Bagrov, B. F. Samsonov, A. V. Shapovalov, I. V. Shirokov
Abstract:
The enveloping algebra of the conformal-group algebra of Minkowski space is regarded as an algebra of differential symmetry operators of the wave equation. It is shown that this algebra is graded. The structure of the enveloping algebra and of its ideal is investigated by means of the grading. The ideal consists of identities of elements of the enveloping algebra on solutions of the wave equation. All identities that consist of second-order operators are found.
Received: 16.01.1989
Citation:
V. G. Bagrov, B. F. Samsonov, A. V. Shapovalov, I. V. Shirokov, “Identities on solutions of the wave equation in the enveloping algebra of the conformal group”, TMF, 83:1 (1990), 14–22; Theoret. and Math. Phys., 83:1 (1990), 347–353
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https://www.mathnet.ru/eng/tmf5745 https://www.mathnet.ru/eng/tmf/v83/i1/p14
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Abstract page: | 360 | Full-text PDF : | 136 | References: | 61 | First page: | 1 |
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