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Zap. Nauchn. Sem. 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

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.

UDC: 512

Received: 02.12.2015


 English version:
Journal of Mathematical Sciences (New York), 2017, 222:4, 429–436

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© Steklov Math. Inst. of RAS, 2024