A word in positive integers is a lattice word if every initial segment has at least as many 's as 's for every . This is the reading-word condition in the Littlewood–Richardson rule. Under good-letter matching in a tableau word, every letter of a lattice word is good.
A lattice word is a concept primarily used in the fields of combinatorics and formal language theory. It refers to a specific arrangement of symbols that can be visualized as a word in a lattice structure. In more technical terms, a lattice word typically arises when considering combinatorial objects associated with lattice paths. In a combinatorial context, a common interpretation of lattice words involves considering strings that correspond to paths on a grid.
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