4 citations · 11 across the 7 of their papers we have counts for
7 papers
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…
Overgroups of exterior powers of an elementary group. Normalizers
Roman Lubkov, Ilia Nekrasov
We establish two characterizations of an algebraic group scheme over . Geometrically, the scheme is a stabilizer of an explicitly…
Overgroups of elementary groups in polyvector representations
Roman Lubkov
We initiate the study of subgroups of the general linear group over a commutative ring that contain the -th exterior power of an elementary group…
Overgroups of exterior powers of an elementary group. Levels
Roman Lubkov, Ilia Nekrasov
We prove a first part of the standard description of groups lying between an exterior power of an elementary group and a general linear group $GL_{n \choos…
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…
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…
Overgroups of exterior powers of an elementary group. I. Levels and normalizers
Roman Lubkov, Ilia Nekrasov
In the present paper, we prove the first part in the standard description of groups lying between -th exterior power of elementary group and the general linear grou…