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Enveloping algebra identities on solutions of conformally invariant wave equations

  • Elementary Particle Physics and Field Theory
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Soviet Physics Journal Aims and scope

Abstract

We study identities in the enveloping algebra of the conformal group, which is the symmetry group of many wave equations: d'Alambert, Weyl, Maxwell, etc. We find all second-order identities for these equations and, in addition, the dimension of the space of nontrivial symmetry operators of any order for the d'Alambert equation.

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Literature cited

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Authors and Affiliations

  1. V. V. Kuibyshev State University, Tomsk

    V. G. Bagrov, A. V. Shapovalov & I. V. Shirokov

Authors
  1. V. G. Bagrov
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  2. A. V. Shapovalov
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  3. I. V. Shirokov
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 14–18, September, 1991.

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Bagrov, V.G., Shapovalov, A.V. & Shirokov, I.V. Enveloping algebra identities on solutions of conformally invariant wave equations. Soviet Physics Journal 34, 751–755 (1991). https://doi.org/10.1007/BF00896704

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  • DOI: https://doi.org/10.1007/BF00896704

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