Geodesic
Verification of the generalized hypothesis of Mishchenko–Fomenko for Lie algebras of small dimension
Čebyševskij sbornik, Tome 24 (2023) no. 5, pp. 126-135 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the case of Lie algebras $\mathfrak{g}$ of small dimension $\leq 7$, an enhanced version of the Generalised argument shift conjecture is proved, namely, it is shown that for any element $a\in\mathfrak{g}^*$ on the dual space $\mathfrak{g}^*$ there is a complete set of polynomials in the bi-involution with respect to the standard Poisson-Lie bracket and the frozen argument bracket associated with the covector $a$.
Keywords: Lie–Poison bracket, sets of polynomials in bi-involution.
Mots-clés : compatible Poisson bracket 
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     title = {Verification of the generalized hypothesis of {Mishchenko{\textendash}Fomenko} for {Lie} algebras of small dimension},
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F. I. Lobzin. Verification of the generalized hypothesis of Mishchenko–Fomenko for Lie algebras of small dimension. Čebyševskij sbornik, Tome 24 (2023) no. 5, pp. 126-135. http://geodesic.mathdoc.fr/item/CHEB_2023_24_5_a7/

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