English

Higher Bruhat orders of types B and C

Combinatorics 2022-07-05 v3

Abstract

We propose versions of higher Bruhat orders for types BB and CC. This is based on a theory of higher Bruhat orders of type~A and their geometric interpretations (due to Manin--Shekhtman, Voevodskii--Kapranov, and Ziegler), and on our study of the so-called symmetric cubillages of cyclic zonotopes.

Cite

@article{arxiv.2107.09462,
  title  = {Higher Bruhat orders of types B and C},
  author = {Vladimir I. Danilov and Alexander V. Karzanov and Gleb A. Koshevoy},
  journal= {arXiv preprint arXiv:2107.09462},
  year   = {2022}
}

Comments

22 pages, 12 figures, a reference is added, a misprint in commutative diagram is corrected

R2 v1 2026-06-24T04:21:38.768Z