S. Novikov

activity

19952022

most citedNew Reductions and Nonlinear Systems for 2D Schrodinger Operators

9 citations · 32 across the 9 of their papers we have counts for

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math.GR2018

On two letter identities in Lie rings

Boris Baranov, Sergei O. Ivanov, Savelii Novikov

Let $L = L (a, b)$ be a free Lie ring on two letters $a, b .$ We investigate the kernel $I$ of the map $L \oplus L \to L$ given by $(A, B) \mapsto [A, a] + [B, b] .$ Any homogeneous element of…

math.GR2017

Generalized Jacobi identities and Jacobi elements of the group ring of the symmetric group

Sergei O. Ivanov, Savelii Novikov

By definition the identities $[x_{1}, x_{2}] + [x_{2}, x_{1}] = 0$ and $[x_{1}, x_{2}, x_{3}] + [x_{2}, x_{3}, x_{1}] + [x_{3}, x_{1}, x_{2}] = 0$ hold in any Lie algebra. It is easy to check that the ident…