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

collaborators

Showing 2026Show all

4 papers · 1 filter

math.NT2026

New integer sequence OEIS A392714 counts Wronskians: fast evaluation via late-growing permutations

Kian C. Shah, Arthemy V. Kiselev

The alternating composition of $N = 2 p$ weighted differential operators $w_{j} (x) \cdot \partial_{x}^{p}$ of strict order $p$ on the line $R ∋ x$ is again an operator of ord…

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…

math.CO2026

The alternating compositions of weighted differential operators yield the weights' Wronskian with which constant?

Kian C. Shah, Arthemy V. Kiselev

The alternated composition of $N = 2 p$ differential operators $w_{j} (x) \partial_{x}^{p}$ of strict order $p$ on the line $R ∋ x$ is again a differential operator of strict orde…

New integer sequence OEIS A392714 counts Wronskians: fast evaluation via late-growing permutations

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)

The alternating compositions of weighted differential operators yield the weights' Wronskian with which constant?

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 $sl (2)$