41 citations · 190 across the 33 of their papers we have counts for
34 papers
Topological Manin pairs and -type series
Raschid Abedin, Stepan Maximov, Alexander Stolin
Lie subalgebras of , complementary to the diagonal embedding of and Lagrangian…
Topological Lie bialgebra structures and their classification over
Raschid Abedin, Stepan Maximov, Alexander Stolin +1
This paper is devoted to a classification of topological Lie bialgebra structures on the Lie algebra , where is a finite-dimensional simple…
Vandiver's Conjecture via K-theory
Alexander Stolin
Vandiver's conjecture states that any prime p does not divide the class number of the maximal real subfield R of the p-th cyclotomic field. The aim of this paper is to prove…
Classification of Quantum Groups via Galois cohomology
Eugene Karolinsky, Arturo Pianzola, Alexander Stolin
The first example of a quantum group was introduced by P.~Kulish and N.~Reshetikhin. In their paper "Quantum linear problem for the sine-Gordon equation and higher representations"…
Simple vector bundles on a nodal Weierstrass cubic and quasi-trigonometric solutions of CYBE
Igor Burban, Lennart Galinat, Alexander Stolin
In this paper we study the combinatorics of quasi-trigonometric solutions of the classical Yang-Baxter equation, arising from simple vector bundles on a nodal Weierstrass cubic.
Belavin-Drinfeld quantum groups and Lie bialgebras: Galois cohomology considerations
Arturo Pianzola, Alexander Stolin
We relate the Belavin--Drinfeld cohomologies (twisted and untwisted) that have been introduced in the literature to study certain families of quantum groups and Lie bialgebras over…