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Symmetries of a Flat Cosymbol Algebra of Differential Operators


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Abstract

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

About the authors

V. S. Kalnitsky

St.Petersburg State University

Author for correspondence.
Email: st003739@spbu.ru
Russian Federation, St.Petersburg

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