Identifier
Values
=>
Cc0022;cc-rep-0 Cc0014;cc-rep
['A',2]=>([(0,2),(1,2)],3)=>2 ['B',2]=>([(0,3),(1,3),(3,2)],4)=>3 ['G',2]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>5 ['A',3]=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>6
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Description
The number of posets with the same order polynomial.
The order polynomial of a poset $P$ is the polynomial $S$ such that $S(m)$ is the number of order-preserving maps from $P$ to $\{1,\dots,m\}$.
See sections 3.12 and 3.15 of [1].
Map
to root poset
Description
The root poset of a finite Cartan type.
This is the poset on the set of positive roots of its root system where $\alpha \prec \beta$ if $\beta - \alpha$ is a simple root.