Arthemy V. Kiselev

works on

wronskian 2 alternating composition 1 asymptotic analysis 1 differential operators 1 integer sequences 1 iterated brackets 1 n-ary lie brackets 1 n-bonacci numbers 1 polynomial degree growth 1

From the 2 of 10 linked papers with an AI index.

activity

20242026

collaborators

10 papers

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

The paper studies iterated generalized Wronskian brackets on the polynomial algebra ℝ[x¹,…,xᵈ] and shows that the maximal total degree of the resulting polynomials grows at most li…

math.CO2026

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

Kian C. Shah, Arthemy V. Kiselev

The paper investigates the alternating composition of weighted differential operators of fixed order, showing it yields the original weights’ Wronskian multiplied by a constant, co…

math.RA2026

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

Markuss G. Ä¶ÄniÅÅ¡, 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.CO2025

Kontsevich graphs act on Nambu-Poisson brackets, VI. Open problems

Mollie S. Jagoe Brown, Arthemy V. Kiselev

Kontsevich's graphs from deformation quantisation allow encoding multi-vectors whose coefficients are differential-polynomial in components of Poisson brackets on finite-dimensiona…

math.RA2025

Jacobi identities for Wronskian determinants over multidimension

Arthemy V. Kiselev

The generalised Wronskian of differential order $k ⩾ 1$ for $N$ functions $f_{1}$ , $\dots$ , $f_{N}$ in $d ⩾ 1$ independent variables $x^{1}$ , $\dots$ , $x^{d}$ is the determ…

math.RA2025

Wronskians as $N$ -ary brackets in finite-dimensional analogues of $s l (2)$

Arthemy V. Kiselev

The Wronskian determinants (for coefficients of higher-order differential operators on the affine real line or circle) satisfy the table of Jacobi-type quadratic identities for str…

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

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

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

Kontsevich graphs act on Nambu-Poisson brackets, VI. Open problems

Jacobi identities for Wronskian determinants over multidimension

Wronskians as N-ary brackets in finite-dimensional analogues of 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 $sl (2)$

Wronskians as $N$ -ary brackets in finite-dimensional analogues of $s l (2)$