Diameter and Automorphisms of Gelfand-Tsetlin Polytopes
Yibo Gao, Benjamin Krakoff, Lisa Yang
TL;DR
This paper calculates the diameter of the 1-skeleton and the automorphism group of Gelfand-Tsetlin polytopes, providing insights into their combinatorial structure related to integer partitions.
Contribution
It precisely determines the diameter and automorphism group of Gelfand-Tsetlin polytopes, advancing understanding of their combinatorial properties.
Findings
Diameter of Gelfand-Tsetlin polytopes explicitly computed
Automorphism group characterized for all such polytopes
Results applicable to representation theory and polytope combinatorics
Abstract
We determine the diameter of the 1-skeleton and the combinatorial automorphism group of any Gelfand-Tsetlin polytope GT associated to an integer partition
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.