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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 443, Pages 95–105 (Mi znsl6260)  
Symmetries of a flat cosymbol algebra of the differential operators

V. S. Kalnitsky

St. Petersburg State University, St. Petersburg, Russia
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Abstract: In this paper the structure theorem is proved for graded symmetries of a flat cosymbol algebra. This theorem together with Equivariant Polynomials Lemma gives an upper bound on the grade dimensions of the Lie algebra of symmetries.
Key words and phrases: cosymbols of differential operators, pulverisation, symmetries of polynomial fields.
Received: 02.12.2015
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 222, Issue 4, Pages 429–436
DOI: https://doi.org/10.1007/s10958-017-3314-7
Bibliographic databases:
Document Type: Article
UDC: 512
Language: Russian
Citation: V. S. Kalnitsky, “Symmetries of a flat cosymbol algebra of the differential operators”, Problems in the theory of representations of algebras and groups. Part 29, Zap. Nauchn. Sem. POMI, 443, POMI, St. Petersburg, 2016, 95–105; J. Math. Sci. (N. Y.), 222:4 (2017), 429–436
Citation in format AMSBIB
\Bibitem{Kal16}
\by V.~S.~Kalnitsky
\paper Symmetries of a~flat cosymbol algebra of the differential operators
\inbook Problems in the theory of representations of algebras and groups. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 443
\pages 95--105
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6260}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3507768}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 222
\issue 4
\pages 429--436
\crossref{https://doi.org/10.1007/s10958-017-3314-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85014763044}
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