107 citations · 232 across the 36 of their papers we have counts for
4 papers · 1 filter
On the derived categories of gentle and skew-gentle algebras: homological algebra and matrix problems
Igor Burban, Yuriy Drozd
In this paper, we investigate properties of the bounded derived category of finite dimensional modules over a gentle or skew-gentle algebra. We show that the Rouquier dimension of…
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.
Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems
Igor Burban, Alexander Zheglov
In this paper, we study properties of the algebras of planar quasi-invariants. These algebras are Cohen-Macaulay and Gorenstein in codimension one. Using the technique of matrix pr…
Torsion free sheaves on Weierstrass cubic curves and the classical Yang-Baxter equation
Igor Burban, Lennart Galinat
This work deals with an algebro-geometric theory of solutions of the classical Yang-Baxter equation based on torsion free coherent sheaves of Lie algebras on Weierstrass cubic curv…