On standard Young tableaux of bounded height
Marni Mishna
TL;DR
This paper reviews recent research on standard Young tableaux with bounded height, emphasizing the role of bijections to lattice walks in Weyl chambers in deriving various combinatorial results.
Contribution
It highlights the connections between Young tableaux of bounded height and lattice walk bijections, providing a unified perspective on recent advances.
Findings
New bijections between Young tableaux and lattice walks
Consequences for enumeration of tableaux of bounded height
Insights into combinatorial structures via Weyl chambers
Abstract
We survey some recent works on standard Young tableaux of bounded height. We focus on consequences resulting from numerous bijections to lattice walks in Weyl chambers.
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Taxonomy
TopicsRandom Matrices and Applications · Advanced Algebra and Geometry · Algebraic structures and combinatorial models