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Results tagged with posets
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user 33546
A poset or partially ordered set is a set endowed with a partial order, meaning a binary relation $\leq$ which is reflexive ($x \leq x$ for all $x$), antisymmetric ($x\leq y$ and $y\leq x$ implies $x=y$), and transitive ($x\leq y$ and $y\leq z$ implies $x \leq z$).
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How exactly does Schützenberger promotion relate to Striker-Williams promotion?
It would be great to find other situations where these notions coincide, so if there are some posets whose number of order ideals equals the number of SYT of a certain shape, it would be good to test if …
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