Verification of the generalized hypothesis of Mishchenko–Fomenko for Lie algebras of small dimension
https://doi.org/10.22405/2226-8383-2023-24-5-126-135
Abstract
In the case of Lie algebras g of small dimension ≤ 7, an enhanced version of the Generalised argument shift conjecture is proved, namely, it is shown that for any element 𝑎 ∈ g* on the dual space 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.
About the Author
Fedor Igorevich Lobzin
Lomonosov Moscow State University; The Center of Fundamental
and Applied Mathematics
Russian Federation
Russian Federation
References
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Review
For citations:
Lobzin F.I. Verification of the generalized hypothesis of Mishchenko–Fomenko for Lie algebras of small dimension. Chebyshevskii Sbornik. 2023;24(5):126-135. (In Russ.) https://doi.org/10.22405/2226-8383-2023-24-5-126-135
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