A. Kiselev

activity

20042026

most citedPoisson brackets symmetry from the pentagon-wheel cocycle in the graph complex

11 citations · 32 across the 17 of their papers we have counts for

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Showing 2026 · math.RAShow all

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math.RA2026

Iterate Wronskians over $R^{d}$ as $N$ -ary brackets on $R [x^{1}, \dots, x^{d}]$ : the $N$ -bonacci numbers bound the highest total degrees

Markuss G. Kenins, Arthemy V. Kiselev

For the algebra $R [x^{1}, \dots, x^{d}]$ of polynomials in $d ⩾ 1$ variables, regard the complete generalised Wronskian $W_{d}^{k}$ of differential order $k ⩾ 1$ over…

math.RA2026

Explicit class of finite-dimensional polynomial algebras with Wronskians over $R^{d}$ as $N$ -ary Lie brackets: beyond $sl (2)$

Markuss G. Ķēniņš, Arthemy V. Kiselev

Lie algebra $sl (2)$ can be realised by vector fields on $R^{1} ∋ x$ with polynomial coefficients $1$ , $- 2 x$ , $- x^{2}$ ; their Wronskian determinants yield the Lie b…

Iterate Wronskians over Rd as N-ary brackets on R[x1,…,xd]: the N-bonacci numbers bound the highest total degrees

Explicit class of finite-dimensional polynomial algebras with Wronskians over Rd as N-ary Lie brackets: beyond sl(2)

Iterate Wronskians over $R^{d}$ as $N$ -ary brackets on $R [x^{1}, \dots, x^{d}]$ : the $N$ -bonacci numbers bound the highest total degrees

Explicit class of finite-dimensional polynomial algebras with Wronskians over $R^{d}$ as $N$ -ary Lie brackets: beyond $sl (2)$