We study the Luna slice theorem in the case of quivers with an involution or supermixed quivers as introduced by Zubkov. We construct an analogue to the notion of a local quiver setting. We use this technique to determine dimension vectors of simple supermixed representations.
A new involution for quantum loop algebras
Combinatorics of $B$-orbits and Bruhat--Chevalley order on involutions
Sesquilinear forms over rings with involution
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