On degenerations and extensions of symplectic and orthogonal quiver representations
arXiv:2106.08666 · doi:10.4310/ARKIV.2025.v63.n1.a3
Abstract
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.
40 pages, 1 figure