PBW bases and marginally large tableaux in types B and C
Combinatorics
2025-05-14 v1 Quantum Algebra
Abstract
We explicitly describe the isomorphism between two combinatorial realizations of Kashiwara's infinity crystal in types B and C. The first realization is in terms of marginally large tableaux and the other is in terms of Kostant partitions coming from PBW bases. We also discuss a stack notation for Kostant partitions which simplifies that realization.
Keywords
Cite
@article{arxiv.1708.04311,
title = {PBW bases and marginally large tableaux in types B and C},
author = {Jackson Criswell and Ben Salisbury and Peter Tingley},
journal= {arXiv preprint arXiv:1708.04311},
year = {2025}
}
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18 pages