A formal Frobenius theorem and argument shift

DOI10.1134/S0001434609070025zbMath1183.17010OpenAlexW2163264849MaRDI QIDQ736199

Konstantin M. Zuev, Alexei V. Bolsinov

Publication date: 27 October 2009

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434609070025

zbMATH Keywords

Lie algebraargument shiftcomplete commutative set of polynomialsformal Frobenius theorem

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Poisson algebras (17B63)

Related Items (3)

Some remarks about Mishchenko-Fomenko subalgebras ⋮ Algebraic and geometric properties of quadratic Hamiltonians determined by sectional operators ⋮ Algebraic foliations and derived geometry: the Riemann-Hilbert correspondence

Cites Work

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• Pencils of complex and real symmetric and skew matrices
• Idempotent analysis as a tool of control theory and optimal synthesis. I
• A Proof of the Mishchenko-Fomenko Conjecture (1981)
• Andrew Lenard: a mystery unraveled

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