26 citations · 207 across the 36 of their papers we have counts for
9 papers · 1 filter
Deformations of complexes for finite dimensional algebras
Frauke M. Bleher, Jose A. Velez-Marulanda
Let be a field and let be a finite dimensional -algebra. We prove that every bounded complex of finitely generated -modules has a well-defined versal defo…
The geometry of finite dimensional algebras with vanishing radical square
Frauke M. Bleher, Ted Chinburg, Birge Huisgen-Zimmermann
Let be a basic finite dimensional algebra over an algebraically closed field, with the property that the square of the Jacobson radical vanishes. We determine the irreducib…
Orbit closures and rational surfaces
Frauke M. Bleher, Ted Chinburg, Birge Huisgen-Zimmermann
In this paper we study the Grassmannian of submodules of a given dimension inside a finitely generated projective module for a finite dimensional algebra over an algebraica…
Universal deformation rings and tame blocks
Frauke M. Bleher, Giovanna Llosent, Jennifer B. Schaefer
Let k be an algebraically closed field of positive characteristic, and let W be the ring of infinite Witt vectors over k. Suppose G is a finite group and B is a block of kG of infi…
Universal deformation rings of group representations, with an application of Brauer's generalized decomposition numbers
Frauke M. Bleher
We give an introduction to the deformation theory of linear representations of profinite groups which Mazur initiated in the 1980's. We then consider the case of representations of…
Universal deformation rings of modules for algebras of dihedral type of polynomial growth
Frauke M. Bleher, Shannon N. Talbott
Let k be an algebraically closed field, and let Λ be an algebra of dihedral type of polynomial growth as classified by Erdmann and Skowroński. We describe all finitely generated Λ-…