107 citations · 232 across the 36 of their papers we have counts for
41 papers
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…
Exceptional hereditary curves and real curve orbifolds
Igor Burban
In this paper, we elaborate the theory of exceptional hereditary curves over arbitrary fields. In particular, we study the category of equivariant coherent sheaves on a regular pro…
Classification of real nodal orders
Igor Burban, Yuriy Drozd
In this paper, we study properties of nodal orders defined over arbitrary base fields. In particular we give a classification of complete real nodal orders.