English

PBW bases and marginally large tableaux in type D

Combinatorics 2025-05-14 v1 Quantum Algebra

Abstract

We give an explicit description of the unique crystal isomorphism between two realizations of B()B(\infty) in type DD: that using marginally large tableaux and that using PBW monomials with respect to one particularly nice reduced expression of the longest word.

Keywords

Cite

@article{arxiv.1606.02517,
  title  = {PBW bases and marginally large tableaux in type D},
  author = {Ben Salisbury and Adam Schultze and Peter Tingley},
  journal= {arXiv preprint arXiv:1606.02517},
  year   = {2025}
}

Comments

11 pages