44 citations · 74 across the 14 of their papers we have counts for
16 papers
Homotopy Invariants for gradable finite dimensional algebras
Sira Gratz, Theo Raedschelders, Špela Špenko +1
We show that for a gradable finite dimensional algebra the perfect complexes and bounded derived category cannot be distinguished by homotopy invariants.
Derived categories of flips and cubic hypersurfaces
Pieter Belmans, Lie Fu, Theo Raedschelders
A classical result of Bondal-Orlov states that a standard flip in birational geometry gives rise to a fully faithful functor between derived categories of coherent sheaves. We comp…
New examples of non-Fourier-Mukai functors
Theo Raedschelders, Alice Rizzardo, Michel Van den Bergh
In this paper we prove that any smooth projective variety of dimension equipped with a tilting bundle can serve as the source variety of a non-Fourier-Mukai functor between…
Hochschild cohomology and deformations of -functors
Ciaran Meachan, Theo Raedschelders
Given a split -functor between smooth projective varieties, we provide necessary and sufficient conditions, in terms of the Ho…
On solvability of the first Hochschild cohomology of a finite-dimensional algebra
Florian Eisele, Theo Raedschelders
For an arbitrary finite-dimensional algebra , we introduce a general approach to determining when its first Hochschild cohomology , considered as a Lie algebra, i…
Proper connective differential graded algebras and their geometric realizations
Theo Raedschelders, Greg Stevenson
We prove that every proper connective DG-algebra admits a geometric realization (as defined by Orlov) by a smooth projective scheme with a full exceptional collection. As a cor…
The Frobenius morphism in invariant theory II
Theo Raedschelders, Špela Špenko, Michel Van den Bergh
Let be the homogeneous coordinate ring of the Grassmannian defined over an algebraically closed field of characteristic . In this…
Hilbert squares: derived categories and deformations
Pieter Belmans, Lie Fu, Theo Raedschelders
For a smooth projective variety with exceptional structure sheaf, and the Hilbert scheme of two points on , we show that the Fourier-Mukai functor $…
The Tannaka-Krein formalism and (re)presentations of universal quantum groups
Theo Raedschelders, Michel Van den Bergh
This is a draft version for an extra chapter in the second edition of the book Quantum Groups and Noncommutative Geometry by Yu. I. Manin. We survey our work on Manin's universal H…
The Frobenius morphism in invariant theory
Theo Raedschelders, Špela Špenko, Michel Van den Bergh
Let be the homogeneous coordinate ring of the Grassmannian defined over an algebraically closed field of characteristic . In this paper…
Non-split Brauer-Severi varieties do not admit full exceptional collections
Theo Raedschelders
Recently, Novaković conjectured that non-split Brauer-Severi varieties do not admit full strong exceptional collections. In this short note, we explain how a stronger version of th…
Derived categories of noncommutative quadrics and Hilbert squares
Pieter Belmans, Theo Raedschelders
A noncommutative deformation of a quadric surface is usually described by a three-dimensional cubic Artin-Schelter regular algebra. In this paper we show that for such an algebra i…
A reduction theorem for -rigid modules
Florian Eisele, Geoffrey Janssens, Theo Raedschelders
We prove a theorem which gives a bijection between the support -tilting modules over a given finite-dimensional algebra and the support -tilting modules over , where…
The representation theory of noncommutative
Theo Raedschelders, Michel Van den Bergh
In our companion paper "The Manin Hopf algebra of a Koszul Artin-Schelter regular algebra is quasi-hereditary" we used the Tannaka-Krein formalism to study the universal coacting H…
The Manin Hopf algebra of a Koszul Artin-Schelter regular algebra is quasi-hereditary
Theo Raedschelders, Michel Van den Bergh
For any Koszul Artin-Schelter regular algebra A, we consider a version of the universal Hopf algebra aut(A) coacting on A, introduced by Manin. To study the representations (i.e. f…
Embeddings of algebras in derived categories of surfaces
Pieter Belmans, Theo Raedschelders
By a result of Orlov there always exists an embedding of the derived category of a finite-dimensional algebra of finite global dimension into the derived category of a high-dimensi…