English

Motzkin combinatorics in linear degenerations of the flag variety

Representation Theory 2021-12-07 v1 Combinatorics

Abstract

We establish an explicit combinatorial/homological characterization of supports for linear degenerations of flag varieties. For such purpose, we introduce the concept of an excessive multisegment. It provides a new class of combinatorial objects counted by Motzkin numbers.

Keywords

Cite

@article{arxiv.2112.02539,
  title  = {Motzkin combinatorics in linear degenerations of the flag variety},
  author = {Giovanni Cerulli Irelli and Francesco Esposito and Mario Marietti},
  journal= {arXiv preprint arXiv:2112.02539},
  year   = {2021}
}