Tesler matrices and Lusztig data
Combinatorics
2024-08-06 v1 Representation Theory
Abstract
We study asymptotics of Tesler matrices using Kostant pictures, as well as partial orders on these. We show that the Lusztig data partial order on Kostant pictures refines the 'merge' partial order on Kostant pictures, and that the merge partial order on Kostant pictures is equivalent to a partial order on Tesler matrices. This equivalence requires integral flow graphs. Using Kostant pictures we find logarithmic asymptotics of some families of Tesler matrices.
Cite
@article{arxiv.2408.01513,
title = {Tesler matrices and Lusztig data},
author = {Ivan Balashov and Constantine Bulavenko and Yaroslav Molybog},
journal= {arXiv preprint arXiv:2408.01513},
year = {2024}
}
Comments
18 pages, 16 figures, Second Annual Yulia's Dream Conference (June 13, 2024)