There are 14 maps with domain Standard tableaux in the database:
(and possibly some waiting for verification)
injective
graded
bijective
surjective
involutive
idempotent
Number of maps: 329
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Alternating sign matricesAlternating sign matricesDyck pathsPerfect matchingsPermutationsSemistandard tableauxBinary treesBinary treesGraphsOrdered treesPosetsBinary wordsBinary wordsInteger compositionsCoresInteger partitionsDecorated permutationsDyck pathsSet partitionsSkew partitionsStandard tableauxFinite Cartan typesGelfand-Tsetlin patternsGelfand-Tsetlin patternsGraphsLatticesInteger compositionsInteger partitionsLatticesOrdered set partitionsOrdered set partitionsOrdered treesParking functionsParking functionsPerfect matchingsPermutationsSigned permutationsPlane partitionsPlane partitionsPosetsSemistandard tableauxSet partitionsSigned permutationsSkew partitionsStandard tableaux
Standard tableauxBinary wordsGelfand-Tsetlin patternsInteger compositionsInteger partitionsPermutationsSet partitionsStandard tableauxdescent wordto Gelfand-Tsetlin patternhorizontal strip sizespeak compositionvalley compositionshapereading word permutationrowscatabolisminverse promotionpromotionrow-to-column-descentsconjugateSchützenberger involution