45 citations · 77 across the 12 of their papers we have counts for
13 papers
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 matrices. We entirely solve th…
On the coordinate rings of Calogero-Moser spaces and the invariant commuting variety of a pair of matrices
Farkhod Eshmatov, Xabier García-Martínez, Zafar Normatov +1
This paper presents a comprehensive description of the coordinate rings and Poisson brackets associated with the fourth Calogero-Moser space and invariant commuting pairs of matric…
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 and the algebraic relations among them explicitly. We give a new presentation fo…
Finite-dimensional Leibniz algebra representations of
Tuuelbay Kurbanbaev, Rustam Turdibaev
All finite-dimensional Leibniz algebra bimodules of a Lie algebra over a field of characteristic zero are described.
Some theorems on Leibniz -algebras from the category
Min Soo Kim, Rustam Turdibaev
We study the Leibniz -algebra , whose multiplication is defined via the bracket of a Leibniz algebra as $[x_1,\dots,x_n]=[x_1,[\dots,…
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…