13 citations · 18 across the 6 of their papers we have counts for
6 papers
The Perpendicular Bisectors Construction, the Isoptic Point and the Simson Line of a Quadrilateral
Olga Radko, Emmanuel Tsukerman
Given a noncyclic quadrilateral, we consider an iterative procedure producing a new quadrilateral at each step. At each iteration, the vertices of the new quadrilateral are the cir…
Graded nilpotent Lie algebras of infinite type
Boris Doubrov, Olga Radko
The paper gives the complete characterization of all graded nilpotent Lie algebras with infinite-dimensional Tanaka prolongation as extensions of graded nilpotent Lie algebras of l…
Picard groups of topologically stable Poisson structures
Olga Radko, Dimitri Shlyakhtenko
We compute the group of Morita self-equivalences (the Picard group) of a Poisson structure on an orientable surface, under the assumption that the degeneracies of the Poisson tenso…
Gauge equivalence of Dirac structures and symplectic groupoids
Henrique Bursztyn, Olga Radko
We study gauge transformations of Dirac structures and the relationship between gauge and Morita equivalences of Poisson manifolds. We describe how the symplectic structure of a sy…
A classification of topologically stable Poisson structures on a compact oriented surface
Olga Radko
Poisson structures vanishing linearly on a set of smooth closed disjoint curves are generic in the set of all Poisson structures on a compact connected oriented surface. We constru…
On the algebraic structure of differential calculus on quantum groups
O. V. Radko, A. A. Vladimirov
Intrinsic Hopf algebra structure of the Woronowicz differential complex is shown to generate quite naturally a bicovariant algebra of four basic objects within a differential calcu…