11 citations · 37 across the 11 of their papers we have counts for
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math.RT2016
Maximum antichains in posets of quiver representations
Florian Gellert, Philipp Lampe
We study maximum antichains in two posets related to quiver representations. Firstly, we consider the set of isomorphism classes of indecomposable representations ordered by inclus…
math.DS2016
On the approximate periodicity of sequences attached to noncrystallographic root systems
Philipp Lampe
We study Fomin-Zelevinsky's mutation rule in the context of noncrystallographic root systems. In particular, we construct approximately periodic sequences of real numbers for the n…
math.NT2016
Diophantine equations via cluster transformations
Philipp Lampe
Motivated by Fomin and Zelevinsky's theory of cluster algebras we introduce a variant of the Markov equation; we show that all natural solutions of the equation arise from an initi…