3 problems

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Coxeter relations for reflection isomorphisms of quiver schemes
Coxeter-relations conjecture. The isomorphisms $\mathcal{F}_j$ satisfy the Coxeter relations of the Weyl group associated with the quiver.
Conjectureopenquiver-schemes reflection-functors weyl-groupsarXiv posted 3 days ago
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Kato compatibility conjecture for reflection functors
Let $i\in I$ for a quiver Hecke algebra of finite ADE type. Let $\refl_i$ denote the reflection functor constructed in the paper, and let the functor constructed by S. Kato be the…
Conjectureopencategorification quiver-hecke-algebras reflection-functorsarXiv posted 3 days ago
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Reflection functor equivalence on module categories
Reflection functor conjecture. The functor $\refl_i$ induces an equivalence of categories
Conjectureopenmonoidal-categories quiver-hecke-algebras reflection-functorsarXiv posted 3 days ago

Coxeter relations for reflection isomorphisms of quiver schemes