6 papers
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…
Derived invariants of gentle orders
Wassilij Gnedin
This article is concerned with the derived representation theory of certain infinite-dimensional gentle algebras called gentle orders. For a gentle order, we provide a factorizatio…
A class of Gorenstein algebras and their dualities
Wassilij Gnedin, Srikanth B. Iyengar, Henning Krause
In the recent paper "The Nakayama functor and its completion for Gorenstein algebras", a class of Gorenstein algebras over commutative noetherian rings was introduced, and duality…
Silting theory under change of rings
Wassilij Gnedin
The main goal of this paper is to compare the silting theory of an -algebra over a Noetherian ring with that of its tensor product with another -algebra…
Calabi-Yau properties of ribbon graph orders
Wassilij Gnedin
We pursue the order-theoretic approach to ribbon graphs initiated by Kauer and Roggenkamp. We show that any ribbon graph order is twisted -Calabi-Yau in general and -Calabi-Y…
Cohen-Macaulay modules over some non-reduced curve singularities
Igor Burban, Wassilij Gnedin
In this article, we study Cohen-Macaulay modules over non-reduced curve singularities. We prove that the rings have tame Cohen-Macaulay representation t…