slr)-tensor invariants, but are known to exist only in certain cases. Recently, we introduced hourglass plabic graphs to give the first rotation-invariant basis in the case r=4, corresponding to 4-row rectangular tableaux. Separately, Fraser introduced a rotation-invariant web basis for the case of 2-column rectangular tableaux. Here, we show that Fraser's basis agrees with that predicted by the hourglass plabic graph framework. Together with our earlier results, this implies that hourglass plabic graphs give a uniform description of all known rotation-invariant Uq(slr)-web bases. Moreover, this provides a single combinatorial model simultaneously generalizing the Tamari lattice, the alternating sign matrix lattice, and the lattice of plane partitions.
Received: November 15, 2024.
Accepted: February 15, 2025.
Final version: April 1, 2025.
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