From the 1 of 4 linked papers with an AI index.
4 papers
Cyclic Sieving for Staircase Plane Partitions via Crystals and Electrical Networks
Sam Hopkins, Jesse Kim, Stephan Pfannerer
The paper proves a cyclic sieving phenomenon for the promotion action on height‑two staircase plane partitions, using spin crystal representations and the bush basis of the electri…
Two -analogues of the tree inversion enumerator
Sam Hopkins
In this note, we introduce two -analogues and of the tree inversion enumerator . Although similar, and $\widetilde{I}_n(q,t)…
Upho lattices II: ways of realizing a core
Sam Hopkins, Joel B. Lewis
A poset is called upper homogeneous, or "upho," if all of its principal order filters are isomorphic to the whole poset. In previous work of the first author, it was shown that eac…
Upho lattices I: examples and non-examples of cores
Sam Hopkins
A poset is called upper homogeneous, or "upho," if every principal order filter of the poset is isomorphic to the whole poset. We study (finite type -graded) upho latti…