R. Turdibaev

activity

20082024

most citedSome properties of evolution algebras

45 citations · 77 across the 12 of their papers we have counts for

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9 papers · 1 filter

math.RA2024

Noncommutative Poisson structure and invariants of matrices

Farkhod Eshmatov, Xabier García-Martínez, Rustam Turdibaev

We introduce a novel approach that employs techniques from noncommutative Poisson geometry to comprehend the algebra of invariants of two $n \times n$ matrices. We entirely solve th…

math.RA2021★ 6 cited

Calogero-Moser spaces and the invariants of two matrices of degree 3

Zafar Normatov, Rustam Turdibaev

We find a minimal set of generators for the coordinate ring of Calogero-Moser space $C_{3}$ and the algebraic relations among them explicitly. We give a new presentation fo…

math.RA2018★ 1 cited

Some theorems on Leibniz $n$ -algebras from the category $U_{n} (Lb)$

Min Soo Kim, Rustam Turdibaev

We study the Leibniz $n$ -algebra $U_{n} (L)$ , whose multiplication is defined via the bracket of a Leibniz algebra $L$ as $[x_1,\dots,x_n]=[x_1,[\dots,…

math.RA2018★ 3 cited

Bipartite graphs and the structure of finite-dimensional semisimple Leibniz algebras

Rustam Turdibaev

Given a finite connected bipartite graph, finite-dimensional indecomposable semisimple Leibniz algebras are constructed. Furthermore, any finite-dimensional indecomposable semisimp…

math.RA2017★ 4 cited

On Local Automorphisms of $sl_{2}$

Terris Becker, Juan Escobar Salsedo, Crystal Salas +1

We establish that the set of local automorphisms $LAut (sl_{2})$ is the group $Aut^{\pm} (sl_{2})$ of all automorphisms and anti-automorphisms. Fo…

math.RA2015

Do $n$ -Lie algebras have universal enveloping algebras

Xabier Garcia-Martinez, Rustam Turdibaev, Tim van der Linden

The aim of this paper is to investigate in which sense, for $n \geq 3$ , $n$ -Lie algebras admit universal enveloping algebras. There have been some attempts at a construction (see [1…