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Bibliographic Details
Main Authors: Boos, Magdalena, Irelli, Giovanni Cerulli
Format: Preprint
Published: 2021
Subjects:
Online Access:https://arxiv.org/abs/2106.08666
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Table of Contents:
  • We discuss degenerations of symplectic and orthogonal representations of symmetric quivers and algebras with self-dualities. As in the non-symmetric case, we define a partial ordering, that we call symmetric Ext-order which gives a sufficient criterion for a symmetric degeneration. Then a detailed discussion of type A quivers and their (symmetric) representation theory via Auslander-Reiten theory leads to our main theorem which states that the symmetric degeneration order of a symmetric quiver of finite type is induced by the usual degeneration order between representations of the underlying quiver.