21 citations · 36 across the 11 of their papers we have counts for
16 papers
The resolving completion of an exact category
Marianne Lawson, Janina C. Letz, Julia Sauter
For an exact category we provide two constructions of an ambient category in which the initial category is resolving: In the derived category and in the Gabriel--Quillen embedding.…
Quasi-projective varieties are Grassmannians for fully exact subcategories of quiver representations
Alexander Pütz, Julia Sauter
Reineke and independent other authors proved that every projective variety arises as a quiver Grassmannian. We prove the claim in the title by restricting Reineke's isomorphism to…
Realization functors in algebraic triangulated categories
Janina C. Letz, Julia Sauter
Let be an algebraic triangulated category and an extension-closed subcategory with . Then $\mathc…
Tilting Theory in exact categories
Julia Sauter
We define tilting subcategories in arbitrary exact categories to archieve the following. Firstly: Unify existing definitions of tilting subcategories to arbitrary exact categories.…
Faithfully balancedness in functor categories
Julia Sauter
This is a generalization of some results of Ma-Sauter from module categories over artin algebras to more general functor categories (and partly to exact categories). In particular,…
On the tilting complexes for the Auslander algebra of the truncated polynomial ring
Julia Sauter
We give a bijection between the tilting complexes in the bounded homotopy category of the Auslander algebra of the truncated polynomial ring and ZxB where B is the Artin braid goup…
Combinatorics of faithfully balanced modules
William Crawley-Boevey, Biao Ma, Baptiste Rognerud +1
We study and classify faithfully balanced modules for the algebra of lower triangular by matrices. The theory extends known results about tilting modules, which are classif…
On faithfully balanced modules, F-cotilting and F-Auslander algebras
Biao Ma, Julia Sauter
We revisit faithfully balanced modules. These are faithful modules having the double centralizer property. For finite-dimensional algebras our main tool is the category ${\rm cogen…
On quiver Grassmannians and orbit closures for gen-finite modules
Matthew Pressland, Julia Sauter
We show that endomorphism rings of cogenerators in the module category of a finite-dimensional algebra A admit a canonical tilting module, whose tilted algebra B is related to A by…
Quiver-graded Richardson Orbits
Ögmundur Eiriksson, Julia Sauter
In Lie theory, a dense orbit in the unipotent radical of a parabolic group under the adjoint action is called a Richardson orbit. We define a quiver-graded version of Richardson or…
Special tilting modules for algebras with positive dominant dimension
Matthew Pressland, Julia Sauter
We study certain special tilting and cotilting modules for an algebra with positive dominant dimension, each of which is generated or cogenerated (and usually both) by projective-i…
On quiver Grassmannians and orbit closures for representation-finite algebras
William Crawley-Boevey, Julia Sauter
We show that Auslander algebras have a unique tilting and cotilting module which is generated and cogenerated by a projective-injective; its endomorphism ring is called the project…
Cell decompositions of quiver flag varieties for nilpotent representations of the oriented cycle
Julia Sauter
Generalizing Schubert cells in type A and a cell decomposition if Springer fibres in type A found by L. Fresse we prove that varieties of complete flags in nilpotent representation…
A Survey on Springer Theory
Julia Sauter
This is not standard in the sense that we understand a Springer map to be a collapsing of homogeneous bundles. Apart from that we use mostly techniques from Chriss and Ginzbergs bo…
Generalized quiver Hecke algebras
Julia Sauter
We generalize the geometric construction of quiver Hecke algebras from Varagnolo and Vasserot to a setup with arbitrary connected reductive groups. This corresponds to replacing qu…
From complete to partial flags in geometric extension algebras
Julia Sauter
A geometric extension algebra is an extension algebra of a semi-simple perverse sheaf (allowing shifts), e.g. a push-forward of the constant sheaf under a projective map. Particula…