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Symmetries of a Flat Cosymbol Algebra of Differential Operators

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In this paper, a structure theorem for the symmetries of a graded flat cosymbol algebra of differential operators is proved. Together with a lemma on equivariant polynomials also proved in the paper, this theorem gives an upper bound on the dimension of the graded Lie algebra associated with the symmetries of geodesic flow on a smooth variety. Bibliography: 14 titles

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Authors and Affiliations

  1. St.Petersburg State University, St.Petersburg, Russia

    V. S. Kalnitsky

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  1. V. S. Kalnitsky
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Correspondence to V. S. Kalnitsky.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 443, 2016, pp. 95–105.

Translated by I. Ponomarenko.

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Kalnitsky, V.S. Symmetries of a Flat Cosymbol Algebra of Differential Operators. J Math Sci 222, 429–436 (2017). https://doi.org/10.1007/s10958-017-3314-7

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  • DOI: https://doi.org/10.1007/s10958-017-3314-7

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