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math.RT2024
A piecewise-linear formula for rigid representations of Dynkin quivers
Deniz Kus, Markus Reineke
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.
math.RT2023
Pieri formulas, higher level Demazure crystals and numerical multiplicities of excellent filtrations
Deniz Kus, Valentin Rappel
The classical Pieri formula gives a multiplicity free expansion of an irreducible module with a fundamental one for the complex general linear group. In this article we replace the…