The type C induction conjecture for Borel orbit closures

Consider symmetric representation varieties of the Seesaw algebra in type CC, and Borel orbit closures in these varieties. The phrase “induced by type AA” refers to the induction relation between orbit closures in the symmetric setting and the corresponding type AA setting.

Type C induction conjecture. In type CC, Borel orbit closures are induced by type AA.

This is stated in the discussion of the conjectural behavior by type. The surrounding text notes that the type CC symmetric representation varieties are irreducible, whereas the authors are not currently sure about type BB; in type DD 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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