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.
Global bases for bosonic extensions of quantum unipotent coordinate rings
2 Pith papers cite this work. Polarity classification is still indexing.
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2025 2representative citing papers
Constructs 2-representations of affine quantum enveloping algebras on finite-dimensional versions in type A_n and proves prefundamental character formulas using quotients and evaluation morphisms.
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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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2-categorical affine symmetries of quantum enveloping algebras
Constructs 2-representations of affine quantum enveloping algebras on finite-dimensional versions in type A_n and proves prefundamental character formulas using quotients and evaluation morphisms.