107 citations · 232 across the 36 of their papers we have counts for
12 papers · 1 filter
Double Hall algebras and derived equivalences revisited
Igor Burban, Daniel Perniok
Let be a finite field and be -linear -finite hereditary abelian categories. A theorem of Cramer asserts that, unde…
Representation theory of the real Gelfand order and real Harish-Chandra modules for $\mathsf{SL}_2(\mathbbm{R})$
Igor Burban, Yuriy Drozd
In this article we study the principal block of the category of real Harish-Chandra modules for the group $\mathsf{SL}_2(\RR)$ and relate it to the category of finite dimensional m…
Representation theory of the Gelfand quiver and Harish-Chandra modules for
Igor Burban, Wassilij Gnedin
In 1970, Gelfand posed the problem of classifying the indecomposable objects in a representation category equivalent to the principal block of Harish-Chandra modules for $\mathsf{S…
Non-crossing partitions for exceptional hereditary curves
Barbara Baumeister, Igor Burban, Georges Neaime +1
We introduce a new class of reflection groups associated with the canonical bilinear lattices of Lenzing, which we call reflection groups of canonical type. The main result of this…
Some aspects of the theory of nodal orders
Igor Burban, Yuriy Drozd
In this paper, we elaborate ring theoretic properties of nodal orders. In particular, we prove that they are closed under taking crossed products with finite groups.
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…