Proves the KKOP conjecture on quantum cluster structures for bosonic extensions Â(b) in type ADE by showing Lusztig parametrizations are compatible with braid moves and cluster mutations, independent of word for b.
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Monoidal Jantzen filtrations induce an associative deformation of Grothendieck ring multiplication that quantizes the ring and recovers known quantum versions in representation categories of quantum loop algebras and quiver Hecke algebras.
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On cluster structures of bosonic extensions
Proves the KKOP conjecture on quantum cluster structures for bosonic extensions Â(b) in type ADE by showing Lusztig parametrizations are compatible with braid moves and cluster mutations, independent of word for b.
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Monoidal Jantzen filtrations
Monoidal Jantzen filtrations induce an associative deformation of Grothendieck ring multiplication that quantizes the ring and recovers known quantum versions in representation categories of quantum loop algebras and quiver Hecke algebras.