A piecewise-linear formula for rigid representations of Dynkin quivers
Deniz Kus, Markus Reineke
TL;DR
This paper presents a new piecewise-linear formula to describe rigid representations of Dynkin quivers, providing a computational tool for understanding their structure.
Contribution
It introduces a novel piecewise-linear formula specifically for rigid representations of Dynkin quivers, advancing the computational methods in representation theory.
Findings
The formula accurately describes rigid representations for various examples.
Illustrations demonstrate the practical application of the formula.
The approach simplifies the analysis of Dynkin quiver representations.
Abstract
We derive a piecewise-linear formula for the rigid representation of a Dynkin quiver of a given dimension vector, and illustrate the formula in several examples.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Molecular spectroscopy and chirality