A square root analog of B(∞) is constructed from set-valued tableaux, with Lusztig-type, polyhedral, and string descriptions, and a product character formula.
Multiline queues with spectral parameters
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Square root crystals and the square root of $B(\infty)$
A square root analog of B(∞) is constructed from set-valued tableaux, with Lusztig-type, polyhedral, and string descriptions, and a product character formula.