The type C induction conjecture for Borel orbit closures
The type C induction conjecture for Borel orbit closures
Consider symmetric representation varieties of the Seesaw algebra in type , and Borel orbit closures in these varieties. The phrase “induced by type ” refers to the induction relation between orbit closures in the symmetric setting and the corresponding type setting.
Type C induction conjecture. In type , Borel orbit closures are induced by type .
This is stated in the discussion of the conjectural behavior by type. The surrounding text notes that the type symmetric representation varieties are irreducible, whereas the authors are not currently sure about type ; in type there are two dense orbits.
Sources & referencesView supporting material
Primary source
Magdalena Boos and Giovanni Cerulli Irelli, “Symmetric degenerations are not in general induced by type A degenerations”, arXiv:2107.10559 (2022).
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