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.
Triangular bases in quantum cluster algebras and monoidal categorification conjectures
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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.