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Higher Bruhat orders of types B and C

  • Vladimir I. Danilov,
  • Alexander V. Karzanov,
  • Gleb A. Koshevoy

摘要

We propose versions of higher Bruhat orders for types B and C. 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.