The authors define extra slow Tamari lattices on faithfully balanced tableaux, prove they are lattices that are semidistributive, trim, polygonal and congruence uniform, describe their join-irreducibles via three-color roots, and obtain enumerative results.
Partially ordered sets and lattices
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The extra slow Tamari lattice
The authors define extra slow Tamari lattices on faithfully balanced tableaux, prove they are lattices that are semidistributive, trim, polygonal and congruence uniform, describe their join-irreducibles via three-color roots, and obtain enumerative results.