most citedTransposed Poisson structure on the Witt-type algebra : Derivations, Automorphisms, and Rota--Baxter operators

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.RA2026★ 1 cited

Transposed Poisson structure on the Witt-type algebra : Derivations, Automorphisms, and Rota--Baxter operators

Roman Lubkov, Ilya Shiringovskiy

In this paper, we provide a comprehensive study of the structural properties of the transposed Poisson algebra . We classify several types of linear maps, includ…

math.GR2024

The reverse decomposition of unipotents for bivectors

Roman Lubkov

For the second fundamental representation of the general linear group over a commutative ring we construct straightforward and uniform polynomial expressions of elementary gene…

math.GR2024

Explicit equations for exterior square of the general linear group

Roman Lubkov, Ilia Nekrasov

We present several explicit systems of equations defining exterior square of the general linear group as an affine group scheme. Algebraic ingredients of the equations, exterior nu…