Symmetries of a Flat Cosymbol Algebra of Differential Operators
- Authors: Kalnitsky V.S.1
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Affiliations:
- St.Petersburg State University
- Issue: Vol 222, No 4 (2017)
- Pages: 429-436
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239228
- DOI: https://doi.org/10.1007/s10958-017-3314-7
- ID: 239228
Cite item
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