Y. Chapovskyi

collaborators

2 papers

math.RA2026

A family of maximal subalgebras of the Lie algebra~ $W_{n} (K)$

Y. Chapovskyi, A. Petravchuk

Let $K$ be an algebraically closed field of characteristic zero and $P_{n} = K [x_{1}, \dots, x_{n}]$ the polynomial ring. Any $K$ -derivation $D$ on $P_{n}$ is of the form ${ D=\sum_{i=1}^n…

math-ph2024

Subalgebras of Lie algebras. Example of sl(3,R) revisited

Yevhenii Yu. Chapovskyi, Serhii D. Koval, Olha Zhur

Revisiting the results by Winternitz [Symmetry in physics, CRM Proc. Lecture Notes 34, American Mathematical Society, Providence, RI, 2004, pp. 215-227], we thoroughly refine his c…

A family of maximal subalgebras of the Lie algebra~Wn​(K)

Subalgebras of Lie algebras. Example of sl(3,R) revisited

A family of maximal subalgebras of the Lie algebra~ $W_{n} (K)$