44 citations · 59 across the 12 of their papers we have counts for
12 papers · 1 filter
On -blocks with quaternion defect groups
Charles Eaton, Florian Eisele, Radha Kessar +2
We determine the Morita equivalence classes of -blocks with quaternion defect groups of arbitrary -power order, thereby completing the proof of Donovan's conjecture for block…
A counterexample to a conjecture on Cartan determinants of monoid algebras
Florian Eisele
We show that there are finite monoids such that the Cartan matrix of the monoid algebra is non-singular, whilst the Cartan matrix of is singular for some fie…
Bijections of silting complexes and derived Picard groups
Florian Eisele
We introduce a method that produces a bijection between the posets and formed by the isomorphism classes of basic silting complexes over finite-di…
On the geometry of lattices and finiteness of Picard groups
Florian Eisele
Let be a -modular system with algebraically closed and unramified, and let be an -order in a separable -algebra. We call…
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…
Donovan's conjecture, blocks with abelian defect groups and discrete valuation rings
Charles W. Eaton, Florian Eisele, Michael Livesey
We give a reduction to quasisimple groups for Donovan's conjecture for blocks with abelian defect groups defined with respect to a suitable discrete valuation ring . C…