43 citations · 97 across the 17 of their papers we have counts for
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Cluster-Cyclic Quivers with three Vertices and the Markov Equation
Andre Beineke, Thomas Brüstle, Lutz Hille
Acyclic cluster algebras have an interpretation in terms of tilting objects in a Calabi-Yau category defined by some hereditary algebra. For a given quiver it is thus desirable…
The orbit structure of Dynkin curves
Simon M. Goodwin, Lutz Hille, Gerhard Roehrle
Let G be a simple algebraic group over an algebraically closed field k; assume that Char k is zero or good for G. Let \cB be the variety of Borel subgroups of G and let e in Lie G…
Prehomogeneous spaces for Borel subgroups of general linear groups
Simon M. Goodwin, Lutz Hille
Let be an algebraically closed field. Let be the Borel subgroup of $\mGL_n(k)$ consisting of nonsingular upper triangular matrices. Let $\frb = \mLie B$ be the Lie algebra…
A Counterexample to King's Conjecture
Lutz Hille, Markus Perling
King's conjecture states that on every smooth complete toric variety there exists a strongly exceptional collection which generates the bounded derived category of and whic…