Proves an explicit algebra isomorphism between the localized bosonic extension from i-box chains and the coordinate ring of the braid variety from Demazure weaves, compatible with seeds and mapping PBW vectors to coordinates.
Braid symmetries on bosonic extensions
2 Pith papers cite this work. Polarity classification is still indexing.
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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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A Comparison of cluster algebra structures arising from $i$-boxes and Demazure weaves
Proves an explicit algebra isomorphism between the localized bosonic extension from i-box chains and the coordinate ring of the braid variety from Demazure weaves, compatible with seeds and mapping PBW vectors to coordinates.
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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.